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102100022123130 = 232510325121438439
BaseRepresentation
bin10111001101110000000011…
…100011001101101001111010
3111101111200000002102200201200
4113031300003203031221322
5101340301321130420010
61001052034100555030
730335324504516613
oct2715600343155172
9441450002380650
10102100022123130
112a594415823539
12b54b8029b2a76
1344c7cb5964655
141b2d94b640c0a
15bc0cc8906cc0
hex5cdc038cda7a

102100022123130 has 96 divisors (see below), whose sum is σ = 268048620852480. Its totient is φ = 26961201146880.

The previous prime is 102100022123129. The next prime is 102100022123147. The reversal of 102100022123130 is 31321220001201.

102100022123130 is a `hidden beast` number, since 1 + 0 + 210 + 0 + 0 + 221 + 231 + 3 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232652451 + ... + 233090889.

It is an arithmetic number, because the mean of its divisors is an integer number (2792173133880).

Almost surely, 2102100022123130 is an apocalyptic number.

102100022123130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102100022123130 is an abundant number, since it is smaller than the sum of its proper divisors (165948598729350).

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

102100022123130 is a wasteful number, since it uses less digits than its factorization.

102100022123130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463676 (or 463673 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102100022123130 its reverse (31321220001201), we get a palindrome (133421242124331).

The spelling of 102100022123130 in words is "one hundred two trillion, one hundred billion, twenty-two million, one hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 206 309 515 618 927 1030 1545 1854 3090 4635 9270 25121 50242 75363 125605 150726 226089 251210 376815 438439 452178 753630 876878 1130445 1315317 2192195 2260890 2587463 2630634 3945951 4384390 5174926 6576585 7762389 7891902 12937315 13153170 15524778 19729755 23287167 25874630 38811945 39459510 45159217 46574334 77623890 90318434 116435835 135477651 225796085 232871670 270955302 406432953 451592170 677388255 812865906 1354776510 2032164765 4064329530 11014026119 22028052238 33042078357 55070130595 66084156714 99126235071 110140261190 165210391785 198252470142 330420783570 495631175355 991262350710 1134444690257 2268889380514 3403334070771 5672223451285 6806668141542 10210002212313 11344446902570 17016670353855 20420004424626 34033340707710 51050011061565 102100022123130