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110021011111120 = 2458993329165569
BaseRepresentation
bin11001000001000001000011…
…010010001111110011010000
3112102112220110102122211001211
4121001001003102033303100
5103410041012321023440
61025554542120505504
732113520135152354
oct3101010322176320
9472486412584054
10110021011111120
1132068715591a3a
121040a98601b294
134950c242a67a5
141d2508c627464
15cabd74106eea
hex64104348fcd0

110021011111120 has 80 divisors (see below), whose sum is σ = 258677329194000. Its totient is φ = 43513198936064.

The previous prime is 110021011111111. The next prime is 110021011111139. The reversal of 110021011111120 is 21111110120011.

It can be written as a sum of positive squares in 8 ways, for example, as 41933032727184 + 68087978383936 = 6475572^2 + 8251544^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 110021011111120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 664419696 + ... + 664585264.

It is an arithmetic number, because the mean of its divisors is an integer number (3233466614925).

Almost surely, 2110021011111120 is an apocalyptic number.

110021011111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110021011111120 is an abundant number, since it is smaller than the sum of its proper divisors (148656318082880).

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

110021011111120 is a wasteful number, since it uses less digits than its factorization.

110021011111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259000 (or 258994 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 110021011111120 its reverse (21111110120011), we get a palindrome (131132121231131).

The spelling of 110021011111120 in words is "one hundred ten trillion, twenty-one billion, eleven million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3560 7120 93329 165569 186658 331138 373316 466645 662276 746632 827845 933290 1324552 1493264 1655690 1866580 2649104 3311380 3733160 6622760 7466320 8306281 13245520 14735641 16612562 29471282 33225124 41531405 58942564 66450248 73678205 83062810 117885128 132900496 147356410 166125620 235770256 294712820 332251240 589425640 664502480 1178851280 15452389201 30904778402 61809556804 77261946005 123619113608 154523892010 247238227216 309047784020 618095568040 1236191136080 1375262638889 2750525277778 5501050555556 6876313194445 11002101111112 13752626388890 22004202222224 27505252777780 55010505555560 110021011111120