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103332021230116 = 22719282720875923
BaseRepresentation
bin10111011111101011011100…
…011010110101101000100100
3111112212110000020002212022201
4113133223130122311220210
5102020442434413330431
61003434024125304244
730523330546244020
oct2737533432655044
9445773006085281
10103332021230116
112aa19956140298
12b70a530a05084
134587224838193
141b734218b9380
15be2d829a4461
hex5dfadc6b5a24

103332021230116 has 144 divisors (see below), whose sum is σ = 218518838608896. Its totient is φ = 41876473963968.

The previous prime is 103332021230069. The next prime is 103332021230117. The reversal of 103332021230116 is 611032120233301.

103332021230116 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1033320212301162 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (103332021230117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17445889531 + ... + 17445895453.

It is an arithmetic number, because the mean of its divisors is an integer number (1517491934784).

Almost surely, 2103332021230116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103332021230116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109259419304448).

103332021230116 is an abundant number, since it is smaller than the sum of its proper divisors (115186817378780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103332021230116 is a wasteful number, since it uses less digits than its factorization.

103332021230116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8886 (or 8865 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 103332021230116 its reverse (611032120233301), we get a palindrome (714364141463417).

The spelling of 103332021230116 in words is "one hundred three trillion, three hundred thirty-two billion, twenty-one million, two hundred thirty thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 361 532 722 827 1444 1654 2087 2527 3308 4174 5054 5789 5923 8348 10108 11578 11846 14609 15713 23156 23692 29218 31426 39653 41461 58436 62852 79306 82922 109991 112537 158612 165844 219982 225074 277571 298547 439964 450148 555142 597094 753407 787759 1110284 1194188 1506814 1575518 1725949 2089829 2138203 3013628 3151036 3451898 4179658 4276406 4898321 5273849 6903796 8359316 8552812 9796642 10547698 12081643 12361301 14967421 19593284 21095396 24163286 24722602 29934842 32793031 34288247 48326572 49445204 59869684 65586062 68576494 86529107 93068099 131172124 137152988 173058214 186136198 229551217 234864719 346116428 372272396 459102434 469729438 623067589 651476693 918204868 939458876 1246135178 1302953386 1644053033 1768293881 2492270356 2605906772 3288106066 3536587762 4361473123 4462429661 6576212132 7073175524 8722946246 8924859322 10222795927 12378057167 17445892492 17849718644 20445591854 24756114334 31237007627 40891183708 49512228668 62474015254 71559571489 124948030508 143119142978 194233122613 286238285956 388466245226 776932490452 1359631858291 2719263716582 3690429329647 5438527433164 7380858659294 14761717318588 25833005307529 51666010615058 103332021230116