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10212213300120 = 23325132182096859
BaseRepresentation
bin1001010010011011011101…
…0110001001101110011000
31100011021111200222212102200
42110212313112021232120
52314304103101100440
633415232004330200
72102544110545266
oct224466726115630
940137450885380
1010212213300120
113287a801a3387
12118b2416a3960
135910138721b0
142743b92b3436
1512a99a71cc30
hex949b7589b98

10212213300120 has 96 divisors (see below), whose sum is σ = 35742746566800. Its totient is φ = 2513775580416.

The previous prime is 10212213300109. The next prime is 10212213300161. The reversal of 10212213300120 is 2100331221201.

10212213300120 is a `hidden beast` number, since 1 + 0 + 21 + 221 + 3 + 300 + 120 = 666.

10212213300120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10212213300093 and 10212213300102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1091043750 + ... + 1091053109.

Almost surely, 210212213300120 is an apocalyptic number.

10212213300120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212213300120 is an abundant number, since it is smaller than the sum of its proper divisors (25530533266680).

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

10212213300120 is a wasteful number, since it uses less digits than its factorization.

10212213300120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182096889 (or 2182096882 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10212213300120 its reverse (2100331221201), we get a palindrome (12312544521321).

The spelling of 10212213300120 in words is "ten trillion, two hundred twelve billion, two hundred thirteen million, three hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 2182096859 4364193718 6546290577 8728387436 10910484295 13092581154 17456774872 19638871731 21820968590 26185162308 28367259167 32731452885 39277743462 43641937180 52370324616 56734518334 65462905770 78555486924 85101777501 87283874360 98194358655 113469036668 130925811540 141836295835 157110973848 170203555002 196388717310 226938073336 255305332503 261851623080 283672591670 340407110004 392777434620 425508887505 510610665006 567345183340 680814220008 785554869240 851017775010 1021221330012 1134690366680 1276526662515 1702035550020 2042442660024 2553053325030 3404071100040 5106106650060 10212213300120