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1021012021120 = 27571317531113
BaseRepresentation
bin11101101101110010000…
…11110000111110000000
310121121102002020200201111
432312321003300332000
5113212013034133440
62101014011013104
7133523425661560
oct16667103607600
93547362220644
101021012021120
11364010739403
12145a66a3a194
137538652c130
14375bacc8da0
151b85b28a4ea
hexedb90f0f80

1021012021120 has 128 divisors (see below), whose sum is σ = 3004131695040. Its totient is φ = 323133456384.

The previous prime is 1021012021111. The next prime is 1021012021129. The reversal of 1021012021120 is 211202101201.

1021012021120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1021012021111) and next prime (1021012021129).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1021012021120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021012021129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8707317 + ... + 8823796.

Almost surely, 21021012021120 is an apocalyptic number.

1021012021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021012021120 is an abundant number, since it is smaller than the sum of its proper divisors (1983119673920).

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

1021012021120 is a wasteful number, since it uses less digits than its factorization.

1021012021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17531152 (or 17531140 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1021012021120 its reverse (211202101201), we get a palindrome (1232214122321).

The spelling of 1021012021120 in words is "one trillion, twenty-one billion, twelve million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 640 728 832 896 910 1040 1120 1456 1664 1820 2080 2240 2912 3640 4160 4480 5824 7280 8320 11648 14560 29120 58240 17531113 35062226 70124452 87655565 122717791 140248904 175311130 227904469 245435582 280497808 350622260 455808938 490871164 560995616 613588955 701244520 911617876 981742328 1121991232 1139522345 1227177910 1402489040 1595331283 1823235752 1963484656 2243982464 2279044690 2454355820 2804978080 3190662566 3646471504 3926969312 4558089380 4908711640 5609956160 6381325132 7292943008 7853938624 7976656415 9116178760 9817423280 11219912320 12762650264 14585886016 15707877248 15953312830 18232357520 19634846560 25525300528 29171772032 31906625660 36464715040 39269693120 51050601056 63813251320 72929430080 78539386240 102101202112 127626502640 145858860160 204202404224 255253005280 510506010560 1021012021120