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102101363622 = 23417109340127
BaseRepresentation
bin101111100010110110…
…1110010101110100110
3100202112121201200020000
41133011231302232212
53133100422113442
6114523230322130
710243111162026
oct1370555625646
9322477650200
10102101363622
113a334615755
1217955659346
139821c8717b
144d28183a86
1529c8970d4c
hex17c5b72ba6

102101363622 has 80 divisors (see below), whose sum is σ = 244463598720. Its totient is φ = 31737837312.

The previous prime is 102101363603. The next prime is 102101363653. The reversal of 102101363622 is 226363101201.

102101363622 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 0 + 1 + 3 + 636 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 130123 + ... + 470249.

It is an arithmetic number, because the mean of its divisors is an integer number (3055794984).

Almost surely, 2102101363622 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102101363622, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122231799360).

102101363622 is an abundant number, since it is smaller than the sum of its proper divisors (142362235098).

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

102101363622 is a wasteful number, since it uses less digits than its factorization.

102101363622 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340267 (or 340258 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 102101363622 its reverse (226363101201), we get a palindrome (328464464823).

The spelling of 102101363622 in words is "one hundred two billion, one hundred one million, three hundred sixty-three thousand, six hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 109 153 162 218 306 327 459 654 918 981 1377 1853 1962 2754 2943 3706 5559 5886 8829 11118 16677 17658 33354 50031 100062 150093 300186 340127 680254 1020381 2040762 3061143 5782159 6122286 9183429 11564318 17346477 18366858 27550287 34692954 37073843 52039431 55100574 74147686 104078862 111221529 156118293 222443058 312236586 333664587 468354879 630255331 667329174 936709758 1000993761 1260510662 1890765993 2001987522 3002981283 3781531986 5672297979 6005962566 11344595958 17016893937 34033787874 51050681811 102101363622