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10060204212 = 2234131421563
BaseRepresentation
bin10010101111010001…
…01000100010110100
3221222010001022210000
421113220220202310
5131100403013322
64342133031300
7504205216302
oct112750504264
927863038700
1010060204212
1142a27a5363
121b49185530
13c44309376
146b6155272
153dd3013ac
hex257a288b4

10060204212 has 120 divisors (see below), whose sum is σ = 26610246432. Its totient is φ = 3314001600.

The previous prime is 10060204211. The next prime is 10060204213. The reversal of 10060204212 is 21240206001.

10060204212 is a `hidden beast` number, since 10 + 0 + 602 + 0 + 42 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (10060204211) and next prime (10060204213).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10060204211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17868643 + ... + 17869205.

Almost surely, 210060204212 is an apocalyptic number.

10060204212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10060204212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13305123216).

10060204212 is an abundant number, since it is smaller than the sum of its proper divisors (16550042220).

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

10060204212 is a wasteful number, since it uses less digits than its factorization.

10060204212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The spelling of 10060204212 in words is "ten billion, sixty million, two hundred four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 131 162 262 324 393 421 524 563 786 842 1126 1179 1263 1572 1684 1689 2252 2358 2526 3378 3537 3789 4716 5052 5067 6756 7074 7578 10134 10611 11367 14148 15156 15201 20268 21222 22734 30402 34101 42444 45468 45603 55151 60804 68202 73753 91206 110302 136404 147506 165453 182412 220604 221259 237023 295012 330906 442518 474046 496359 661812 663777 711069 885036 948092 992718 1327554 1422138 1489077 1985436 1991331 2133207 2655108 2844276 2978154 3982662 4266414 4467231 5956308 5973993 6399621 7965324 8532828 8934462 11947986 12799242 17868924 19198863 23895972 25598484 31050013 38397726 62100026 76795452 93150039 124200052 186300078 279450117 372600156 558900234 838350351 1117800468 1676700702 2515051053 3353401404 5030102106 10060204212