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100122131133222 = 231125128388724077
BaseRepresentation
bin10110110000111110000000…
…000011110111001100100110
3111010111120201110120220222020
4112300332000003313030212
5101110400111032230342
6552535245544444010
730042404513510112
oct2660760003671446
9433446643526866
10100122131133222
11299a1614934220
12b29040b179606
1343b36269cbb93
141aa1d191ca742
15b896168dc0ec
hex5b0f800f7326

100122131133222 has 128 divisors (see below), whose sum is σ = 220350859481088. Its totient is φ = 30077183760000.

The previous prime is 100122131133191. The next prime is 100122131133229. The reversal of 100122131133222 is 222331131221001.

It is a super-2 number, since 2×1001221311332222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100122131133192 and 100122131133201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122131133229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4158401848 + ... + 4158425924.

It is an arithmetic number, because the mean of its divisors is an integer number (1721491089696).

Almost surely, 2100122131133222 is an apocalyptic number.

100122131133222 is an abundant number, since it is smaller than the sum of its proper divisors (120228728347866).

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

100122131133222 is a wasteful number, since it uses less digits than its factorization.

100122131133222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25514.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 100122131133222 its reverse (222331131221001), we get a palindrome (322453262354223).

The spelling of 100122131133222 in words is "one hundred trillion, one hundred twenty-two billion, one hundred thirty-one million, one hundred thirty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 251 283 502 566 753 849 887 1506 1698 1774 2661 2761 3113 5322 5522 6226 8283 9339 9757 16566 18678 19514 24077 29271 48154 58542 71033 72231 142066 144462 213099 222637 251021 264847 426198 445274 502042 529694 667911 753063 781363 794541 1335822 1506126 1562726 1589082 2344089 2449007 2761231 4688178 4898014 5522462 6043327 6813791 7347021 8283693 12086654 13627582 14694042 16567386 18129981 20441373 21356299 36259962 40882746 42712598 63006271 64068897 66476597 74951701 126012542 128137794 132953194 149903402 189018813 199429791 224855103 234919289 378037626 398859582 449710206 469838578 693068981 704757867 1386137962 1409515734 1710261541 2079206943 3420523082 4158413886 5130784623 5360431049 6043832617 10261569246 10720862098 12087665234 16081293147 18131497851 18812876951 32162586294 36262995702 37625753902 56438630853 58964741539 66482158787 112877261706 117929483078 132964317574 176894224617 199446476361 353788449234 398892952722 1517001986867 3034003973734 4551005960601 9102011921202 16687021855537 33374043711074 50061065566611 100122131133222