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211001112200220 = 223540110867807011
BaseRepresentation
bin101111111110011110000110…
…010101110000010000011100
31000200002111202022002100202120
4233332132012111300100130
5210124020234210401340
62024432323415222540
762305220155166316
oct5776360625602034
91020074668070676
10211001112200220
116126008405a7a1
121b7b9519677a50
13909741cc45a74
143a16718b927b6
15195d9531de4d0
hexbfe78657041c

211001112200220 has 96 divisors (see below), whose sum is σ = 592331674910976. Its totient is φ = 56121412224000.

The previous prime is 211001112200147. The next prime is 211001112200239. The reversal of 211001112200220 is 22002211100112.

It is a super-4 number, since 4×2110011122002204 (a number of 58 digits) contains 4444 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 211001112200220.

It is a congruent number.

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, 261056515 + ... + 261863525.

It is an arithmetic number, because the mean of its divisors is an integer number (6170121613656).

Almost surely, 2211001112200220 is an apocalyptic number.

211001112200220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211001112200220 is an abundant number, since it is smaller than the sum of its proper divisors (381330562710756).

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

211001112200220 is a wasteful number, since it uses less digits than its factorization.

211001112200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818291 (or 818289 counting only the distinct ones).

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

Adding to 211001112200220 its reverse (22002211100112), we get a palindrome (233003323300332).

The spelling of 211001112200220 in words is "two hundred eleven trillion, one billion, one hundred twelve million, two hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 401 802 1203 1604 2005 2406 4010 4812 6015 8020 10867 12030 21734 24060 32601 43468 54335 65202 108670 130404 163005 217340 326010 652020 807011 1614022 2421033 3228044 4035055 4357667 4842066 8070110 8715334 9684132 12105165 13073001 16140220 17430668 21788335 24210330 26146002 43576670 48420660 52292004 65365005 87153340 130730010 261460020 323611411 647222822 970834233 1294445644 1618057055 1941668466 3236114110 3883336932 4854171165 6472228220 8769788537 9708342330 17539577074 19416684660 26309365611 35079154148 43848942685 52618731222 87697885370 105237462444 131546828055 175395770740 263093656110 526187312220 3516685203337 7033370406674 10550055610011 14066740813348 17583426016685 21100111220022 35166852033370 42200222440044 52750278050055 70333704066740 105500556100110 211001112200220