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221002200020100 = 223521959964728407
BaseRepresentation
bin110010010000000000010101…
…101000000111010010000100
31001222111121022022020120221010
4302100000111220013102010
5212431400001201120400
62102011001544122220
764356611353060302
oct6220002550072204
91058447268216833
10221002200020100
1164466563439a04
1220953859766370
139641558578c95
143c807c656d272
151a83b938ae450
hexc90015a07484

221002200020100 has 144 divisors (see below), whose sum is σ = 674211097728000. Its totient is φ = 55738924974720.

The previous prime is 221002200020039. The next prime is 221002200020117. The reversal of 221002200020100 is 1020002200122.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 28949904 + ... + 35778503.

It is an arithmetic number, because the mean of its divisors is an integer number (4682021512000).

Almost surely, 2221002200020100 is an apocalyptic number.

221002200020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221002200020100 is an abundant number, since it is smaller than the sum of its proper divisors (453208897707900).

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

221002200020100 is a wasteful number, since it uses less digits than its factorization.

221002200020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64729042 (or 64729035 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 221002200020100 its reverse (1020002200122), we get a palindrome (222022202220222).

The spelling of 221002200020100 in words is "two hundred twenty-one trillion, two billion, two hundred million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 599 950 1140 1198 1425 1797 1900 2396 2850 2995 3594 5700 5990 7188 8985 11381 11980 14975 17970 22762 29950 34143 35940 44925 45524 56905 59900 68286 89850 113810 136572 170715 179700 227620 284525 341430 569050 682860 853575 1138100 1707150 3414300 64728407 129456814 194185221 258913628 323642035 388370442 647284070 776740884 970926105 1229839733 1294568140 1618210175 1941852210 2459679466 3236420350 3689519199 3883704420 4854630525 4919358932 6149198665 6472840700 7379038398 9709261050 12298397330 14758076796 18447595995 19418522100 24596794660 30745993325 36895191990 38772315793 61491986650 73790383980 77544631586 92237979975 116316947379 122983973300 155089263172 184475959950 193861578965 232633894758 368951919900 387723157930 465267789516 581584736895 736674000067 775446315860 969307894825 1163169473790 1473348000134 1938615789650 2210022000201 2326338947580 2907923684475 2946696000268 3683370000335 3877231579300 4420044000402 5815847368950 7366740000670 8840088000804 11050110001005 11631694737900 14733480001340 18416850001675 22100220002010 36833700003350 44200440004020 55250550005025 73667400006700 110501100010050 221002200020100