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102022022030313 = 3711457966419639
BaseRepresentation
bin10111001100100111011010…
…011000011110001111101001
3111101020012200010111102122010
4113030213122120132033221
5101333012100114432223
61000552134144150133
730326563545622320
oct2714473230361751
9441205603442563
10102022022030313
112a564329800310
12b538674908349
1344c0834c73888
141b29c6c3390b7
15bbdc60ccd393
hex5cc9da61e3e9

102022022030313 has 32 divisors (see below), whose sum is σ = 169966154926080. Its totient is φ = 52882482591360.

The previous prime is 102022022030309. The next prime is 102022022030317. The reversal of 102022022030313 is 313030220220201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102022022030309) and next prime (102022022030317).

It is not a de Polignac number, because 102022022030313 - 22 = 102022022030309 is a prime.

It is a super-2 number, since 2×1020220220303132 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 102022022030313.

It is not an unprimeable number, because it can be changed into a prime (102022022030317) 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, 483104253 + ... + 483315386.

It is an arithmetic number, because the mean of its divisors is an integer number (5311442341440).

Almost surely, 2102022022030313 is an apocalyptic number.

It is an amenable number.

102022022030313 is a deficient number, since it is larger than the sum of its proper divisors (67944132895767).

102022022030313 is a wasteful number, since it uses less digits than its factorization.

102022022030313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966420117.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 102022022030313 its reverse (313030220220201), we get a palindrome (415052242250514).

The spelling of 102022022030313 in words is "one hundred two trillion, twenty-two billion, twenty-two million, thirty thousand, three hundred thirteen".

Divisors: 1 3 7 11 21 33 77 231 457 1371 3199 5027 9597 15081 35189 105567 966419639 2899258917 6764937473 10630616029 20294812419 31891848087 74414312203 223242936609 441653775023 1324961325069 3091576425161 4858191525253 9274729275483 14574574575759 34007340676771 102022022030313