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102022011020 = 225291192314753
BaseRepresentation
bin101111100000011111…
…1000101100010001100
3100202100002102010220202
41133000333011202030
53132420113323040
6114511313433032
710241125533236
oct1370077054214
9322302363822
10102022011020
113a2a3846996
1217932b6b778
13980b6c2677
144d1b809256
1529c19e9015
hex17c0fc588c

102022011020 has 48 divisors (see below), whose sum is σ = 221667636960. Its totient is φ = 39395629056.

The previous prime is 102022010989. The next prime is 102022011023. The reversal of 102022011020 is 20110220201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102022010992 and 102022011010.

It is not an unprimeable number, because it can be changed into a prime (102022011023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6907964 + ... + 6922716.

It is an arithmetic number, because the mean of its divisors is an integer number (4618075770).

Almost surely, 2102022011020 is an apocalyptic number.

102022011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022011020 is an abundant number, since it is smaller than the sum of its proper divisors (119645625940).

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

102022011020 is a wasteful number, since it uses less digits than its factorization.

102022011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26714 (or 26712 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102022011020 its reverse (20110220201), we get a palindrome (122132231221).

The spelling of 102022011020 in words is "one hundred two billion, twenty-two million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 11923 14753 23846 29506 47692 59012 59615 73765 119230 147530 238460 295060 345767 427837 691534 855674 1383068 1711348 1728835 2139185 3457670 4278370 6915340 8556740 175900019 351800038 703600076 879500095 1759000190 3518000380 5101100551 10202201102 20404402204 25505502755 51011005510 102022011020