Search a number
-
+
102210222221100 = 223252716223844797
BaseRepresentation
bin10111001111010110101011…
…111111001110011100101100
3111101220012110010100200220200
4113033112223333032130230
5101344103013342033400
61001214421115313500
730346305406063230
oct2717265377163454
9441805403320820
10102210222221100
112a627125913174
12b56903874b890
1345054c8751306
141b350032305c0
15bc3ac8377b00
hex5cf5abfce72c

102210222221100 has 108 divisors (see below), whose sum is σ = 366139729401264. Its totient is φ = 23362336506240.

The previous prime is 102210222221099. The next prime is 102210222221101. The reversal of 102210222221100 is 1122222012201.

It is a happy number.

102210222221100 is a `hidden beast` number, since 1 + 0 + 2 + 210 + 222 + 221 + 10 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102210222221099) and next prime (102210222221101).

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

It is not an unprimeable number, because it can be changed into a prime (102210222221101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8111916099 + ... + 8111928698.

Almost surely, 2102210222221100 is an apocalyptic number.

102210222221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210222221100 is an abundant number, since it is smaller than the sum of its proper divisors (263929507180164).

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

102210222221100 is a wasteful number, since it uses less digits than its factorization.

102210222221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16223844824 (or 16223844814 counting only the distinct ones).

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

Adding to 102210222221100 its reverse (1122222012201), we get a palindrome (103332444233301).

The spelling of 102210222221100 in words is "one hundred two trillion, two hundred ten billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 16223844797 32447689594 48671534391 64895379188 81119223985 97343068782 113566913579 146014603173 162238447970 194686137564 227133827158 243357671955 292029206346 324476895940 340700740737 405596119925 454267654316 486715343910 567834567895 584058412692 681401481474 730073015865 811192239850 973430687820 1022102222211 1135669135790 1216788359775 1362802962948 1460146031730 1622384479700 1703503703685 2044204444422 2271338271580 2433576719550 2839172839475 2920292063460 3407007407370 3650365079325 4088408888844 4867153439100 5110511111055 5678345678950 6814014814740 7300730158650 8517518518425 10221022222110 11356691357900 14601460317300 17035037036850 20442044444220 25552555555275 34070074073700 51105111110550 102210222221100