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10200202012 = 227211132315823
BaseRepresentation
bin10010111111111101…
…01011101100011100
3222022212110221122201
421133332223230130
5131342222431022
64404053421244
7510525200200
oct113776535434
928285427581
1010200202012
114364825820
121b8803a824
13c673156c0
146ca998b00
153ea757127
hex25ffabb1c

10200202012 has 144 divisors (see below), whose sum is σ = 25457144832. Its totient is φ = 3508686720.

The previous prime is 10200201983. The next prime is 10200202027. The reversal of 10200202012 is 21020200201.

It is a self number, because there is not a number n which added to its sum of digits gives 10200202012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 636733 + ... + 652555.

It is an arithmetic number, because the mean of its divisors is an integer number (176785728).

Almost surely, 210200202012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10200202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12728572416).

10200202012 is an abundant number, since it is smaller than the sum of its proper divisors (15256942820).

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

10200202012 is a wasteful number, since it uses less digits than its factorization.

10200202012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15888 (or 15879 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10200202012 its reverse (21020200201), we get a palindrome (31220402213).

It can be divided in two parts, 10200 and 202012, that added together give a palindrome (212212).

The spelling of 10200202012 in words is "ten billion, two hundred million, two hundred two thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 23 26 28 44 46 49 52 77 91 92 98 143 154 161 182 196 253 286 299 308 322 364 506 539 572 598 637 644 1001 1012 1078 1127 1196 1274 1771 2002 2093 2156 2254 2548 3289 3542 4004 4186 4508 6578 7007 7084 8372 12397 13156 14014 14651 15823 23023 24794 28028 29302 31646 46046 49588 58604 63292 92092 110761 161161 174053 205699 221522 322322 348106 363929 411398 443044 644644 696212 727858 775327 822796 1218371 1439893 1455716 1550654 2262689 2436742 2547503 2879786 3101308 4003219 4525378 4731077 4873484 5095006 5759572 8006438 8528597 9050756 9462154 10079251 10190012 15838823 16012876 17057194 17832521 18924308 20158502 28022533 31677646 33117539 34114388 35665042 40317004 52041847 56045066 63355292 66235078 71330084 104083694 110871761 112090132 132470156 196157731 208167388 221743522 231822773 364292929 392315462 443487044 463645546 728585858 784630924 927291092 1457171716 2550050503 5100101006 10200202012