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21101221111320 = 2332578373500441
BaseRepresentation
bin1001100110001000000101…
…10010011110011000011000
32202201020221101021011012200
410303010002302132120120
510231210300101030240
6112513433412210200
74305340634022510
oct463040262363030
982636841234180
1021101221111320
1167a5a83234039
122449684309960
13ba0ab506568c
1452d43998c840
15268d57b42930
hex133102c9e618

21101221111320 has 96 divisors (see below), whose sum is σ = 78375964137120. Its totient is φ = 4823136253440.

The previous prime is 21101221111309. The next prime is 21101221111387. The reversal of 21101221111320 is 2311112210112.

It is a happy number.

21101221111320 is a `hidden beast` number, since 2 + 1 + 10 + 1 + 221 + 111 + 320 = 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 = 21101221111293 and 21101221111302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4186747701 + ... + 4186752740.

It is an arithmetic number, because the mean of its divisors is an integer number (816416293095).

Almost surely, 221101221111320 is an apocalyptic number.

21101221111320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21101221111320 is an abundant number, since it is smaller than the sum of its proper divisors (57274743025800).

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

21101221111320 is a wasteful number, since it uses less digits than its factorization.

21101221111320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8373500465 (or 8373500458 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 21101221111320 its reverse (2311112210112), we get a palindrome (23412333321432).

The spelling of 21101221111320 in words is "twenty-one trillion, one hundred one billion, two hundred twenty-one million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 8373500441 16747000882 25120501323 33494001764 41867502205 50241002646 58614503087 66988003528 75361503969 83735004410 100482005292 117229006174 125602506615 150723007938 167470008820 175843509261 200964010584 234458012348 251205013230 293072515435 301446015876 334940017640 351687018522 376807519845 468916024696 502410026460 527530527783 586145030870 602892031752 703374037044 753615039690 879217546305 1004820052920 1055061055566 1172290061740 1406748074088 1507230079380 1758435092610 2110122111132 2344580123480 2637652638915 3014460158760 3516870185220 4220244222264 5275305277830 7033740370440 10550610555660 21101221111320