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13100102220 = 2235435395803
BaseRepresentation
bin11000011001101001…
…11011001001001100
31020210222011010220010
430030310323021030
5203312111232340
610003524353220
7642430013562
oct141464731114
936728133803
1013100102220
115612736767
122657245810
13130a04cb9a
148c3b85a32
1551a126b80
hex30cd3b24c

13100102220 has 96 divisors (see below), whose sum is σ = 38241891072. Its totient is φ = 3347705088.

The previous prime is 13100102189. The next prime is 13100102221. The reversal of 13100102220 is 2220100131.

It is a super-2 number, since 2×131001022202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13100102196 and 13100102205.

It is not an unprimeable number, because it can be changed into a prime (13100102221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88839 + ... + 184641.

It is an arithmetic number, because the mean of its divisors is an integer number (398353032).

Almost surely, 213100102220 is an apocalyptic number.

13100102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13100102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19120945536).

13100102220 is an abundant number, since it is smaller than the sum of its proper divisors (25141788852).

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

13100102220 is a wasteful number, since it uses less digits than its factorization.

13100102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95911 (or 95909 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 13100102220 its reverse (2220100131), we get a palindrome (15320202351).

The spelling of 13100102220 in words is "thirteen billion, one hundred million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 53 60 86 106 129 159 172 212 215 258 265 318 430 516 530 636 645 795 860 1060 1290 1590 2279 2580 3180 4558 6837 9116 11395 13674 22790 27348 34185 45580 68370 95803 136740 191606 287409 383212 479015 574818 958030 1149636 1437045 1916060 2874090 4119529 5077559 5748180 8239058 10155118 12358587 15232677 16478116 20310236 20597645 24717174 25387795 30465354 41195290 49434348 50775590 60930708 61792935 76163385 82390580 101551180 123585870 152326770 218335037 247171740 304653540 436670074 655005111 873340148 1091675185 1310010222 2183350370 2620020444 3275025555 4366700740 6550051110 13100102220