Search a number
-
+
10201211101220 = 22512731730614139
BaseRepresentation
bin1001010001110010011110…
…0100000110000000100100
31100010020002221102020212112
42110130213210012000210
52314114040020214340
633410212141140152
72102004343443536
oct224344744060044
940106087366775
1010201211101220
1132833447a3517
121189090b5a658
1358cc7c357a29
14273a53dcd856
1512a554897065
hex94727906024

10201211101220 has 96 divisors (see below), whose sum is σ = 21671646474240. Its totient is φ = 4033290723840.

The previous prime is 10201211101201. The next prime is 10201211101241. The reversal of 10201211101220 is 2210111210201.

It is a junction number, because it is equal to n+sod(n) for n = 10201211101195 and 10201211101204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2464653911 + ... + 2464658049.

It is an arithmetic number, because the mean of its divisors is an integer number (225746317440).

Almost surely, 210201211101220 is an apocalyptic number.

10201211101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201211101220 is an abundant number, since it is smaller than the sum of its proper divisors (11470435373020).

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

10201211101220 is a wasteful number, since it uses less digits than its factorization.

10201211101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7653 (or 7651 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10201211101220 its reverse (2210111210201), we get a palindrome (12411322311421).

The spelling of 10201211101220 in words is "ten trillion, two hundred one billion, two hundred eleven million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 127 254 317 508 634 635 1268 1270 1585 2540 3061 3170 4139 6122 6340 8278 12244 15305 16556 20695 30610 40259 41390 61220 80518 82780 161036 201295 388747 402590 525653 777494 805180 970337 1051306 1312063 1554988 1940674 1943735 2102612 2624126 2628265 3881348 3887470 4851685 5248252 5256530 6560315 7774940 9703370 10513060 12669479 13120630 19406740 25338958 26241260 50677916 63347395 123232799 126694790 166632001 246465598 253389580 333264002 492931196 616163995 666528004 833160005 1232327990 1609023833 1666320010 2464655980 3218047666 3332640020 4016224843 6436095332 8032449686 8045119165 16064899372 16090238330 20081124215 32180476660 40162248430 80324496860 510060555061 1020121110122 2040242220244 2550302775305 5100605550610 10201211101220