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210021011121120 = 25354091631069363
BaseRepresentation
bin101111110000001101010011…
…110000110110001111100000
31000112121210221100222212001220
4233300031103300312033200
5210011441012321333440
62022402153123455040
762144342304366033
oct5760152360661740
91015553840885056
10210021011121120
1160a124575a5681
121b67b58b827480
139025b86424144
1439c10dd43d01a
1519431dd8c98d0
hexbf0353c363e0

210021011121120 has 96 divisors (see below), whose sum is σ = 661568420564352. Its totient is φ = 56005413714432.

The previous prime is 210021011121109. The next prime is 210021011121139. The reversal of 210021011121120 is 21121110120012.

It is a happy number.

210021011121120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2100210111211202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 210021011121120.

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, 195863559 + ... + 196932921.

It is an arithmetic number, because the mean of its divisors is an integer number (6891337714212).

Almost surely, 2210021011121120 is an apocalyptic number.

210021011121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210021011121120 is an abundant number, since it is smaller than the sum of its proper divisors (451547409443232).

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

210021011121120 is a wasteful number, since it uses less digits than its factorization.

210021011121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478544 (or 1478536 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 210021011121120 its reverse (21121110120012), we get a palindrome (231142121241132).

The spelling of 210021011121120 in words is "two hundred ten trillion, twenty-one billion, eleven million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 409163 818326 1069363 1227489 1636652 2045815 2138726 2454978 3208089 3273304 4091630 4277452 4909956 5346815 6137445 6416178 6546608 8183260 8554904 9819912 10693630 12274890 12832356 13093216 16040445 16366520 17109808 19639824 21387260 24549780 25664712 32080890 32733040 34219616 39279648 42774520 49099560 51329424 64161780 65466080 85549040 98199120 102658848 128323560 171098080 196398240 256647120 513294240 437543773169 875087546338 1312631319507 1750175092676 2187718865845 2625262639014 3500350185352 4375437731690 5250525278028 6563156597535 7000700370704 8750875463380 10501050556056 13126313195070 14001400741408 17501750926760 21002101112112 26252626390140 35003501853520 42004202224224 52505252780280 70007003707040 105010505560560 210021011121120