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102022102200 = 233521181143977
BaseRepresentation
bin101111100000011111…
…1011011110010111000
3100202100002120202222210
41133000333123302320
53132420124232300
6114511315415120
710241126363124
oct1370077336270
9322302522883
10102022102200
113a2a38a9447
1217932bb44a0
13980b725015
144d1b830584
1529c1a16050
hex17c0fdbcb8

102022102200 has 96 divisors (see below), whose sum is σ = 316538512560. Its totient is φ = 27182668800.

The previous prime is 102022102129. The next prime is 102022102277. The reversal of 102022102200 is 2201220201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 636612 + ... + 780588.

Almost surely, 2102022102200 is an apocalyptic number.

102022102200 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 102022102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158269256280).

102022102200 is an abundant number, since it is smaller than the sum of its proper divisors (214516410360).

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

102022102200 is a wasteful number, since it uses less digits than its factorization.

102022102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145177 (or 145168 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102022102200 its reverse (2201220201), we get a palindrome (104223322401).

The spelling of 102022102200 in words is "one hundred two billion, twenty-two million, one hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1181 2362 3543 4724 5905 7086 9448 11810 14172 17715 23620 28344 29525 35430 47240 59050 70860 88575 118100 141720 143977 177150 236200 287954 354300 431931 575908 708600 719885 863862 1151816 1439770 1727724 2159655 2879540 3455448 3599425 4319310 5759080 7198850 8638620 10798275 14397700 17277240 21596550 28795400 43193100 86386200 170036837 340073674 510110511 680147348 850184185 1020221022 1360294696 1700368370 2040442044 2550552555 3400736740 4080884088 4250920925 5101105110 6801473480 8501841850 10202210220 12752762775 17003683700 20404420440 25505525550 34007367400 51011051100 102022102200