Search a number
-
+
100211232131100 = 223252756831471213
BaseRepresentation
bin10110110010010000111110…
…111001001100100000011100
3111010211002201001211121000200
4112302100332321030200130
5101113330100411143400
6553044223212223500
730052010515502166
oct2662207671144034
9433732631747020
10100211232131100
1129a26388044752
12b2a5736a6ab90
1343bbb564b6a2c
141aa636c94b936
15b8bacdd87b00
hex5b243ee4c81c

100211232131100 has 108 divisors (see below), whose sum is σ = 314110903620696. Its totient is φ = 26722623980160.

The previous prime is 100211232131083. The next prime is 100211232131141. The reversal of 100211232131100 is 1131232112001.

100211232131100 is a `hidden beast` number, since 1 + 0 + 0 + 21 + 12 + 321 + 311 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67379094 + ... + 68850306.

Almost surely, 2100211232131100 is an apocalyptic number.

100211232131100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211232131100 is an abundant number, since it is smaller than the sum of its proper divisors (213899671489596).

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

100211232131100 is a wasteful number, since it uses less digits than its factorization.

100211232131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546916 (or 1546906 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 100211232131100 its reverse (1131232112001), we get a palindrome (101342464243101).

The spelling of 100211232131100 in words is "one hundred trillion, two hundred eleven billion, two hundred thirty-two million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 75683 151366 227049 302732 378415 454098 681147 756830 908196 1135245 1362294 1471213 1513660 1892075 2270490 2724588 2942426 3405735 3784150 4413639 4540980 5676225 5884852 6811470 7356065 7568300 8827278 11352450 13240917 13622940 14712130 17028675 17654556 22068195 22704900 26481834 29424260 34057350 36780325 44136390 52963668 66204585 68114700 73560650 88272780 110340975 132409170 147121300 220681950 264818340 331022925 441363900 662045850 1324091700 111345813479 222691626958 334037440437 445383253916 556729067395 668074880874 1002112321311 1113458134790 1336149761748 1670187202185 2004224642622 2226916269580 2783645336975 3340374404370 4008449285244 5010561606555 5567290673950 6680748808740 8350936010925 10021123213110 11134581347900 16701872021850 20042246426220 25052808032775 33403744043700 50105616065550 100211232131100