Search a number
-
+
102100112121222 = 23267151560663087
BaseRepresentation
bin10111001101110000001000…
…111010100001110110000110
3111101111200020100210001220100
4113031300020322201312012
5101340302012200334342
61001052051033544530
730335326646503665
oct2715601072416606
9441450210701810
10102100112121222
112a594461603426
12b54b828b75146
1344c7ccb4b5767
141b2d95958addc
15bc0cd1782e4c
hex5cdc08ea1d86

102100112121222 has 48 divisors (see below), whose sum is σ = 226005533425152. Its totient is φ = 33303387308400.

The previous prime is 102100112121187. The next prime is 102100112121229. The reversal of 102100112121222 is 222121211001201.

102100112121222 is a `hidden beast` number, since 1 + 0 + 210 + 0 + 112 + 121 + 222 = 666.

It is a super-2 number, since 2×1021001121212222 (a number of 29 digits) contains 22 as substring.

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 = 102100112121195 and 102100112121204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100112121229) 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, 280149438 + ... + 280513649.

It is an arithmetic number, because the mean of its divisors is an integer number (4708448613024).

Almost surely, 2102100112121222 is an apocalyptic number.

102100112121222 is an abundant number, since it is smaller than the sum of its proper divisors (123905421303930).

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

102100112121222 is a wasteful number, since it uses less digits than its factorization.

102100112121222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560663313 (or 560663310 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102100112121222 its reverse (222121211001201), we get a palindrome (324221323122423).

The spelling of 102100112121222 in words is "one hundred two trillion, one hundred billion, one hundred twelve million, one hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 67 134 151 201 302 402 453 603 906 1206 1359 2718 10117 20234 30351 60702 91053 182106 560663087 1121326174 1681989261 3363978522 5045967783 10091935566 37564426829 75128853658 84660126137 112693280487 169320252274 225386560974 253980378411 338079841461 507960756822 676159682922 761941135233 1523882270466 5672228451179 11344456902358 17016685353537 34033370707074 51050056060611 102100112121222