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102010113213320 = 23513421465969821
BaseRepresentation
bin10111001100011100010100…
…100011111100001110001000
3111101012001221011221211212002
4113030130110203330032020
5101332313202440311240
61000542444333010132
730325662462426254
oct2714342443741610
9441161834854762
10102010113213320
112a55a2785688a4
12b5362b0623948
1344bc6879865c0
141b2945c895264
15bbd7b556ed15
hex5cc7148fc388

102010113213320 has 64 divisors (see below), whose sum is σ = 247765473753840. Its totient is φ = 37575806284800.

The previous prime is 102010113213277. The next prime is 102010113213331. The reversal of 102010113213320 is 23312311010201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 140131932964 + 101869981280356 = 374342^2 + 10093066^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102010113213292 and 102010113213301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232765991 + ... + 233203830.

Almost surely, 2102010113213320 is an apocalyptic number.

102010113213320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102010113213320 is an abundant number, since it is smaller than the sum of its proper divisors (145755360540520).

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

102010113213320 is a wasteful number, since it uses less digits than its factorization.

102010113213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465970266 (or 465970262 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 102010113213320 its reverse (23312311010201), we get a palindrome (125322424223521).

The spelling of 102010113213320 in words is "one hundred two trillion, ten billion, one hundred thirteen million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 421 520 842 1684 2105 3368 4210 5473 8420 10946 16840 21892 27365 43784 54730 109460 218920 465969821 931939642 1863879284 2329849105 3727758568 4659698210 6057607673 9319396420 12115215346 18638792840 24230430692 30288038365 48460861384 60576076730 121152153460 196173294641 242304306920 392346589282 784693178564 980866473205 1569386357128 1961732946410 2550252830333 3923465892820 5100505660666 7846931785640 10201011321332 12751264151665 20402022642664 25502528303330 51005056606660 102010113213320