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102021221210220 = 2232513291503407327
BaseRepresentation
bin10111001100100110101010…
…101001100101100001101100
3111101020010121022121112222200
4113030212222221211201230
5101333003430112211340
61000551522455541500
730326534653022004
oct2714465251454154
9441203538545880
10102021221210220
112a563a5875a324
12b53849068a890
1344c0738094630
141b29bd3c39004
15bbdc15843330
hex5cc9aaa6586c

102021221210220 has 144 divisors (see below), whose sum is σ = 344761368456960. Its totient is φ = 24246953353728.

The previous prime is 102021221210219. The next prime is 102021221210287. The reversal of 102021221210220 is 22012122120201.

It is a happy number.

102021221210220 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 212 + 21 + 210 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102021221210193 and 102021221210202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 751635804 + ... + 751771523.

It is an arithmetic number, because the mean of its divisors is an integer number (2394176169840).

Almost surely, 2102021221210220 is an apocalyptic number.

102021221210220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102021221210220 is an abundant number, since it is smaller than the sum of its proper divisors (242740147246740).

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

102021221210220 is a wasteful number, since it uses less digits than its factorization.

102021221210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503407384 (or 1503407379 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102021221210220 its reverse (22012122120201), we get a palindrome (124033343330421).

The spelling of 102021221210220 in words is "one hundred two trillion, twenty-one billion, two hundred twenty-one million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 29 30 36 39 45 52 58 60 65 78 87 90 116 117 130 145 156 174 180 195 234 260 261 290 348 377 390 435 468 522 580 585 754 780 870 1044 1131 1170 1305 1508 1740 1885 2262 2340 2610 3393 3770 4524 5220 5655 6786 7540 11310 13572 16965 22620 33930 67860 1503407327 3006814654 4510221981 6013629308 7517036635 9020443962 13530665943 15034073270 18040887924 19544295251 22551109905 27061331886 30068146540 39088590502 43598812483 45102219810 54122663772 58632885753 67653329715 78177181004 87197624966 90204439620 97721476255 117265771506 130796437449 135306659430 174395249932 175898657259 195442952510 217994062415 234531543012 261592874898 270613318860 293164428765 351797314518 390885905020 392389312347 435988124830 523185749796 566784562279 586328857530 653982187245 703594629036 784778624694 871976249660 879493286295 1133569124558 1172657715060 1307964374490 1569557249388 1700353686837 1758986572590 1961946561735 2267138249116 2615928748980 2833922811395 3400707373674 3517973145180 3923893123470 5101061060511 5667845622790 6801414747348 7847786246940 8501768434185 10202122121022 11335691245580 17003536868370 20404244242044 25505305302555 34007073736740 51010610605110 102021221210220