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100230422341122 = 233231301450713763
BaseRepresentation
bin10110110010100010110110…
…101110000010011000000010
3111010212221020110121021021000
4112302202312232002120002
5101114133401104403442
6553101115333112430
730053260205546313
oct2662426656023002
9433787213537230
10100230422341122
1129a33535456557
12b2a93b1788716
1343c08c41916a8
141aa726d47a60a
15b8c353995d4c
hex5b28b6b82602

100230422341122 has 128 divisors (see below), whose sum is σ = 232665528453120. Its totient is φ = 31923557265600.

The previous prime is 100230422341111. The next prime is 100230422341141. The reversal of 100230422341122 is 221143224032001.

100230422341122 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 3 + 0 + 4 + 223 + 411 + 22 = 666.

It is a super-2 number, since 2×1002304223411222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7282593013 + ... + 7282606775.

It is an arithmetic number, because the mean of its divisors is an integer number (1817699441040).

Almost surely, 2100230422341122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100230422341122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116332764226560).

100230422341122 is an abundant number, since it is smaller than the sum of its proper divisors (132435106111998).

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

100230422341122 is a wasteful number, since it uses less digits than its factorization.

100230422341122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19605 (or 19599 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 100230422341122 its reverse (221143224032001), we get a palindrome (321373646373123).

The spelling of 100230422341122 in words is "one hundred trillion, two hundred thirty billion, four hundred twenty-two million, three hundred forty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 621 1242 1301 2602 3903 4507 7806 9014 11709 13521 13763 23418 27042 27526 29923 35127 40563 41289 59846 70254 81126 82578 89769 103661 121689 123867 179538 207322 243378 247734 269307 310983 316549 371601 538614 621966 633098 743202 807921 932949 949647 1615842 1865898 1899294 2798847 2848941 5597694 5697882 5863607 8546823 11727214 17093646 17590821 17905663 35181642 35811326 52772463 53716989 62029841 105544926 107433978 124059682 134862961 158317389 161150967 186089523 269725922 316634778 322301934 372179046 404588883 411830249 483452901 558268569 809177766 823660498 966905802 1116537138 1213766649 1235490747 1426686343 1674805707 2427533298 2470981494 2853372686 3349611414 3641299947 3706472241 4280059029 7282599894 7412944482 8560118058 11119416723 12840177087 22238833446 25680354174 38520531261 77041062522 80700823141 161401646282 242102469423 484204938846 726307408269 1452614816538 1856118932243 2178922224807 3712237864486 4357844449614 5568356796729 11136713593458 16705070390187 33410140780374 50115211170561 100230422341122