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21111010220120 = 235191109711232243
BaseRepresentation
bin1001100110011010010100…
…10000111101100001011000
32202202012012121012101222212
410303031022100331201120
510231340322104020440
6112522133022534252
74306135341046352
oct463151220754130
982665177171885
1021111010220120
1167aa1469a73a7
12244b556737388
13ba19b5154452
1452dac7ad60d2
1526922c244465
hex13334a43d858

21111010220120 has 128 divisors (see below), whose sum is σ = 47855872880640. Its totient is φ = 8381323484160.

The previous prime is 21111010220089. The next prime is 21111010220129. The reversal of 21111010220120 is 2102201011112.

It is a super-2 number, since 2×211110102201202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21111010220095 and 21111010220104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21111010220129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9411951719 + ... + 9411953961.

It is an arithmetic number, because the mean of its divisors is an integer number (373874006880).

Almost surely, 221111010220120 is an apocalyptic number.

21111010220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21111010220120 is an abundant number, since it is smaller than the sum of its proper divisors (26744862660520).

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

21111010220120 is a wasteful number, since it uses less digits than its factorization.

21111010220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4665 (or 4661 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21111010220120 its reverse (2102201011112), we get a palindrome (23213211231232).

The spelling of 21111010220120 in words is "twenty-one trillion, one hundred eleven billion, ten million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 191 382 764 955 1097 1123 1528 1910 2194 2243 2246 3820 4388 4486 4492 5485 5615 7640 8776 8972 8984 10970 11215 11230 17944 21940 22430 22460 43880 44860 44920 89720 209527 214493 419054 428413 428986 838108 856826 857972 1047635 1072465 1231931 1676216 1713652 1715944 2095270 2142065 2144930 2460571 2463862 2518889 3427304 4190540 4284130 4289860 4921142 4927724 5037778 6159655 8381080 8568260 8579720 9842284 9855448 10075556 12302855 12319310 12594445 17136520 19684568 20151112 24605710 24638620 25188890 49211420 49277240 50377780 98422840 100755560 235298821 469969061 470597642 481107799 939938122 941195284 962215598 1176494105 1879876244 1882390568 1924431196 2349845305 2352988210 2405538995 2763221233 3759752488 3848862392 4699690610 4705976420 4811077990 5526442466 9399381220 9411952840 9622155980 11052884932 13816106165 18798762440 19244311960 22105769864 27632212330 55264424660 110528849320 527775255503 1055550511006 2111101022012 2638876277515 4222202044024 5277752555030 10555505110060 21111010220120