Search a number
-
+
10102122112020 = 22351792819333667
BaseRepresentation
bin1001001100000001010101…
…1001100110010000010100
31022202202100021000001111120
42103000111121212100110
52311003121230041040
633252503440203540
72061566001103311
oct223002531462024
938682307001446
1010102122112020
113245316630304
121171a383095b0
1358381a4c8643
1426cd33d53d08
15127ba56117d0
hex93015666414

10102122112020 has 96 divisors (see below), whose sum is σ = 28454139302400. Its totient is φ = 2677891204224.

The previous prime is 10102122111989. The next prime is 10102122112021. The reversal of 10102122112020 is 2021122120101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102122112021) 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, 30109227 + ... + 30442893.

It is an arithmetic number, because the mean of its divisors is an integer number (296397284400).

Almost surely, 210102122112020 is an apocalyptic number.

10102122112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102122112020 is an abundant number, since it is smaller than the sum of its proper divisors (18352017190380).

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

10102122112020 is a wasteful number, since it uses less digits than its factorization.

10102122112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336677 (or 336675 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10102122112020 its reverse (2021122120101), we get a palindrome (12123244232121).

The spelling of 10102122112020 in words is "ten trillion, one hundred two billion, one hundred twenty-two million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 179 358 537 716 895 1074 1790 2148 2685 2819 3580 5370 5638 8457 10740 11276 14095 16914 28190 33828 42285 56380 84570 169140 333667 504601 667334 1001001 1009202 1334668 1513803 1668335 2002002 2018404 2523005 3027606 3336670 4004004 5005005 5046010 6055212 6673340 7569015 10010010 10092020 15138030 20020020 30276060 59726393 119452786 179179179 238905572 298631965 358358358 597263930 716716716 895895895 940607273 1194527860 1791791790 1881214546 2821821819 3583583580 3762429092 4703036365 5643643638 9406072730 11287287276 14109109095 18812145460 28218218190 56436436380 168368701867 336737403734 505106105601 673474807468 841843509335 1010212211202 1683687018670 2020424422404 2525530528005 3367374037340 5051061056010 10102122112020