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102022012092 = 223711138493341
BaseRepresentation
bin101111100000011111…
…1000101110010111100
3100202100002102012101110
41133000333011302330
53132420113341332
6114511313442020
710241125536330
oct1370077056274
9322302365343
10102022012092
113a2a3847780
1217932b70310
13980b6c2cc0
144d1b8097c0
1529c19e94cc
hex17c0fc5cbc

102022012092 has 96 divisors (see below), whose sum is σ = 319621446144. Its totient is φ = 24460819200.

The previous prime is 102022012051. The next prime is 102022012097. The reversal of 102022012092 is 290210220201.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022012097) 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, 4234659 + ... + 4258682.

It is an arithmetic number, because the mean of its divisors is an integer number (3329390064).

Almost surely, 2102022012092 is an apocalyptic number.

102022012092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102022012092 is an abundant number, since it is smaller than the sum of its proper divisors (217599434052).

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

102022012092 is a wasteful number, since it uses less digits than its factorization.

102022012092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8493379 (or 8493377 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 102022012092 its reverse (290210220201), we get a palindrome (392232232293).

The spelling of 102022012092 in words is "one hundred two billion, twenty-two million, twelve thousand, ninety-two".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 12012 8493341 16986682 25480023 33973364 50960046 59453387 93426751 101920092 110413433 118906774 178360161 186853502 220826866 237813548 280280253 331240299 356720322 373707004 441653732 560560506 653987257 662480598 713440644 772894031 1121121012 1214547763 1307974514 1324961196 1545788062 1961961771 2318682093 2429095526 2615949028 3091576124 3643643289 3923923542 4637364186 4858191052 7287286578 7847847084 8501834341 9274728372 14574573156 17003668682 25505503023 34007337364 51011006046 102022012092