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213411214101030 = 235115232593476869
BaseRepresentation
bin110000100001100010101011…
…100110111000101000100110
31000222121220122110000022110220
4300201202223212320220212
5210433012131302213110
62033515431443225210
762644310555300301
oct6041425346705046
91028556573008426
10213411214101030
1161aaa207817530
121bb28633978206
13921078b96366a
143a9b22d2d1b38
1519a14ae8a1370
hexc218ab9b8a26

213411214101030 has 128 divisors (see below), whose sum is σ = 560034785134080. Its totient is φ = 51617107906560.

The previous prime is 213411214101013. The next prime is 213411214101053. The reversal of 213411214101030 is 30101412114312.

It is a super-2 number, since 2×2134112141010302 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

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, 447287436 + ... + 447764304.

It is an arithmetic number, because the mean of its divisors is an integer number (4375271758860).

Almost surely, 2213411214101030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213411214101030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280017392567040).

213411214101030 is an abundant number, since it is smaller than the sum of its proper divisors (346623571033050).

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

213411214101030 is a wasteful number, since it uses less digits than its factorization.

213411214101030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480006.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 213411214101030 its reverse (30101412114312), we get a palindrome (243512626215342).

The spelling of 213411214101030 in words is "two hundred thirteen trillion, four hundred eleven billion, two hundred fourteen million, one hundred one thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 523 1046 1569 2593 2615 3138 5186 5230 5753 7779 7845 11506 12965 15558 15690 17259 25930 28523 28765 34518 38895 57046 57530 77790 85569 86295 142615 171138 172590 285230 427845 476869 855690 953738 1356139 1430607 2384345 2712278 2861214 4068417 4768690 5245559 6780695 7153035 8136834 10491118 13561390 14306070 14917529 15736677 20342085 26227795 29835058 31473354 40684170 44752587 52455590 74587645 78683385 89505174 149175290 157366770 223762935 249402487 447525870 498804974 748207461 1236521317 1247012435 1496414922 2473042634 2494024870 2743427357 3709563951 3741037305 5486854714 6182606585 7419127902 7482074610 8230282071 12365213170 13601734487 13717136785 16460564142 18547819755 27203468974 27434273570 37095639510 40805203461 41151410355 68008672435 81610406922 82302820710 136017344870 204026017305 408052034610 646700648791 1293401297582 1940101946373 3233503243955 3880203892746 6467006487910 7113707136701 9700509731865 14227414273402 19401019463730 21341121410103 35568535683505 42682242820206 71137071367010 106705607050515 213411214101030