Search a number
-
+
10310000021132 = 22723292089264263
BaseRepresentation
bin1001011000000111101111…
…1000111000111010001100
31100111121220121221222200112
42112001323320320322030
52322404340001134012
633532203145215152
72112605261140340
oct226017370707214
940447817858615
1010310000021132
1133154a025a199
1211a61921914b8
1359a2c89810a6
142790143db620
1512d2c04b6122
hex9607be38e8c

10310000021132 has 96 divisors (see below), whose sum is σ = 22269210163200. Its totient is φ = 4078750781952.

The previous prime is 10310000021131. The next prime is 10310000021147. The reversal of 10310000021132 is 23112000001301.

10310000021132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103100000211322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (10310000021131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38882033 + ... + 39146295.

It is an arithmetic number, because the mean of its divisors is an integer number (231970939200).

Almost surely, 210310000021132 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 10310000021132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11134605081600).

10310000021132 is an abundant number, since it is smaller than the sum of its proper divisors (11959210142068).

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

10310000021132 is a wasteful number, since it uses less digits than its factorization.

10310000021132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266415 (or 266413 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10310000021132 its reverse (23112000001301), we get a palindrome (33422000022433).

The spelling of 10310000021132 in words is "ten trillion, three hundred ten billion, twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 23 28 29 46 58 92 116 161 203 322 406 644 667 812 1334 2089 2668 4178 4669 8356 9338 14623 18676 29246 48047 58492 60581 96094 121162 192188 242324 264263 336329 424067 528526 672658 848134 1057052 1345316 1393363 1696268 1849841 2786726 3699682 5573452 6078049 7399364 7663627 9753541 12156098 15327254 19507082 24312196 30654508 39014164 42546343 53645389 85092686 107290778 170185372 176263421 214581556 352526842 552045407 705053684 1104090814 1233843947 2208181628 2467687894 3864317849 4935375788 7728635698 12697044361 15457271396 16009316803 25394088722 32018633606 50788177444 64037267212 88879310527 112065217621 177758621054 224130435242 355517242108 368214286469 448260870484 736428572938 1472857145876 2577500005283 5155000010566 10310000021132