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21211102010100 = 22352313761642261
BaseRepresentation
bin1001101001010100110000…
…01100110101101011110100
32210002202120011120011102110
410310222120030311223310
510240010314103310400
6113040125025211020
74316310611164212
oct464523014655364
983082504504373
1021211102010100
11683863a126692
122466a2b190a70
13bab276991792
145348a100bcb2
1526bb39560e50
hex134a98335af4

21211102010100 has 144 divisors (see below), whose sum is σ = 65062667833856. Its totient is φ = 5325891264000.

The previous prime is 21211102010093. The next prime is 21211102010123. The reversal of 21211102010100 is 101020111212.

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

It is a congruent number.

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, 30477031 + ... + 31165230.

Almost surely, 221211102010100 is an apocalyptic number.

21211102010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21211102010100 is an abundant number, since it is smaller than the sum of its proper divisors (43851565823756).

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

21211102010100 is a wasteful number, since it uses less digits than its factorization.

21211102010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61642346 (or 61642339 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21211102010100 its reverse (101020111212), we get a palindrome (21312122121312).

The spelling of 21211102010100 in words is "twenty-one trillion, two hundred eleven billion, one hundred two million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 37 50 60 62 74 75 93 100 111 124 148 150 155 185 186 222 300 310 370 372 444 465 555 620 740 775 925 930 1110 1147 1550 1850 1860 2220 2294 2325 2775 3100 3441 3700 4588 4650 5550 5735 6882 9300 11100 11470 13764 17205 22940 28675 34410 57350 68820 86025 114700 172050 344100 61642261 123284522 184926783 246569044 308211305 369853566 616422610 739707132 924633915 1232845220 1541056525 1849267830 1910910091 2280763657 3082113050 3698535660 3821820182 4561527314 4623169575 5732730273 6164226100 6842290971 7643640364 9123054628 9246339150 9554550455 11403818285 11465460546 13684581942 18492678300 19109100910 22807636570 22930921092 27369163884 28663651365 34211454855 38218201820 45615273140 47772752275 57019091425 57327302730 68422909710 70703673367 95545504550 114038182850 114654605460 136845819420 141407346734 143318256825 171057274275 191091009100 212111020101 228076365700 282814693468 286636513650 342114548550 353518366835 424222040202 573273027300 684229097100 707036733670 848444080404 1060555100505 1414073467340 1767591834175 2121110201010 3535183668350 4242220402020 5302775502525 7070367336700 10605551005050 21211102010100