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211020002012100 = 223523124194150717
BaseRepresentation
bin101111111110101111101100…
…010000101010101111000100
31000200011022111202121020012210
4233332233230100222233010
5210124322431003341400
62024445130045343420
762306456240015211
oct5776575420525704
91020138452536183
10211020002012100
1161268097945a76
121b80110b867b70
139099140613648
143a175cb846b08
15195e1ab760950
hexbfebec42abc4

211020002012100 has 144 divisors (see below), whose sum is σ = 632861543046656. Its totient is φ = 54230812416000.

The previous prime is 211020002012081. The next prime is 211020002012119. The reversal of 211020002012100 is 1210200020112.

It is an interprime number because it is at equal distance from previous prime (211020002012081) and next prime (211020002012119).

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, 44834059 + ... + 49316658.

Almost surely, 2211020002012100 is an apocalyptic number.

211020002012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211020002012100 is an abundant number, since it is smaller than the sum of its proper divisors (421841541034556).

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

211020002012100 is a wasteful number, since it uses less digits than its factorization.

211020002012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94151006 (or 94150999 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211020002012100 its reverse (1210200020112), we get a palindrome (212230202032212).

The spelling of 211020002012100 in words is "two hundred eleven trillion, twenty billion, two million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 241 300 310 372 465 482 620 723 775 930 964 1205 1446 1550 1860 2325 2410 2892 3100 3615 4650 4820 6025 7230 7471 9300 12050 14460 14942 18075 22413 24100 29884 36150 37355 44826 72300 74710 89652 112065 149420 186775 224130 373550 448260 560325 747100 1120650 2241300 94150717 188301434 282452151 376602868 470753585 564904302 941507170 1129808604 1412260755 1883014340 2353767925 2824521510 2918672227 4707535850 5649043020 5837344454 7061303775 8756016681 9415071700 11674688908 14122607550 14593361135 17512033362 22690322797 28245215100 29186722270 35024066724 43780083405 45380645594 58373444540 68070968391 72966805675 87560166810 90761291188 113451613985 136141936782 145933611350 175120333620 218900417025 226903227970 272283873564 291867222700 340354841955 437800834050 453806455940 567258069925 680709683910 703400006707 875601668100 1134516139850 1361419367820 1406800013414 1701774209775 2110200020121 2269032279700 2813600026828 3403548419550 3517000033535 4220400040242 6807096839100 7034000067070 8440800080484 10551000100605 14068000134140 17585000167675 21102000201210 35170000335350 42204000402420 52755000503025 70340000670700 105510001006050 211020002012100