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101100221102220 = 223510752837298043
BaseRepresentation
bin10110111111001100111010…
…110000111111100010001100
3111020222002100020102110020120
4112333030322300333202030
5101222411223100232340
6555004444515144540
730203151504203544
oct2677147260774214
9436862306373216
10101100221102220
112a2393aa15357a
12b409a975a5150
13445492c986522
141ad73c37d2324
15ba4cae8974d0
hex5bf33ac3f88c

101100221102220 has 96 divisors (see below), whose sum is σ = 285732598733568. Its totient is φ = 26707500701952.

The previous prime is 101100221102191. The next prime is 101100221102261. The reversal of 101100221102220 is 22201122001101.

It is a super-3 number, since 3×1011002211022203 (a number of 43 digits) contains 333 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 101100221102220.

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, 339064519 + ... + 339362561.

It is an arithmetic number, because the mean of its divisors is an integer number (2976381236808).

Almost surely, 2101100221102220 is an apocalyptic number.

101100221102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100221102220 is an abundant number, since it is smaller than the sum of its proper divisors (184632377631348).

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

101100221102220 is a wasteful number, since it uses less digits than its factorization.

101100221102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350999 (or 350997 counting only the distinct ones).

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

Adding to 101100221102220 its reverse (22201122001101), we get a palindrome (123301343103321).

The spelling of 101100221102220 in words is "one hundred one trillion, one hundred billion, two hundred twenty-one million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 1070 1284 1605 2140 3210 6420 52837 105674 158511 211348 264185 298043 317022 528370 596086 634044 792555 894129 1056740 1192172 1490215 1585110 1788258 2980430 3170220 3576516 4470645 5653559 5960860 8941290 11307118 16960677 17882580 22614236 28267795 31890601 33921354 56535590 63781202 67842708 84803385 95671803 113071180 127562404 159453005 169606770 191343606 318906010 339213540 382687212 478359015 637812020 956718030 1913436060 15747697991 31495395982 47243093973 62990791964 78738489955 94486187946 157476979910 188972375892 236215469865 314953959820 472430939730 944861879460 1685003685037 3370007370074 5055011055111 6740014740148 8425018425185 10110022110222 16850036850370 20220044220444 25275055275555 33700073700740 50550110551110 101100221102220