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102102002221122 = 23246513185938281
BaseRepresentation
bin10111001101110001111001…
…100100101100000001000010
3111101111212010002100002112100
4113031301321210230001002
5101340314400032033442
61001053002353211230
730335424540211221
oct2715617144540102
9441455102302470
10102102002221122
112a595241507462
12b550075b60b16
1344c823cc61077
141b2da985d8cb8
15bc0d9268784c
hex5cdc7992c042

102102002221122 has 48 divisors (see below), whose sum is σ = 221281294534560. Its totient is φ = 34024726296000.

The previous prime is 102102002221097. The next prime is 102102002221127. The reversal of 102102002221122 is 221122200201201.

It is a happy number.

102102002221122 is a `hidden beast` number, since 1 + 0 + 210 + 200 + 22 + 211 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102102002221095 and 102102002221104.

It is not an unprimeable number, because it can be changed into a prime (102102002221127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2667152622 + ... + 2667190902.

It is an arithmetic number, because the mean of its divisors is an integer number (4610026969470).

Almost surely, 2102102002221122 is an apocalyptic number.

102102002221122 is an abundant number, since it is smaller than the sum of its proper divisors (119179292313438).

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

102102002221122 is a wasteful number, since it uses less digits than its factorization.

102102002221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74799 (or 74796 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102102002221122 its reverse (221122200201201), we get a palindrome (323224202422323).

The spelling of 102102002221122 in words is "one hundred two trillion, one hundred two billion, two million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 4651 9302 13953 27906 31859 38281 41859 63718 76562 83718 95577 114843 191154 229686 286731 344529 573462 689058 148176209 178044931 296352418 356089862 444528627 534134793 889057254 1068269586 1219594379 1333585881 1602404379 2439188758 2667171762 3204808758 3658783137 7317566274 10976349411 21952698822 5672333456729 11344666913458 17017000370187 34034000740374 51051001110561 102102002221122