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10202012205 = 3571117796577
BaseRepresentation
bin10011000000001011…
…00101101000101101
3222022222212220202220
421200011211220231
5131343203342310
64404200305553
7510546446550
oct114005455055
928288786686
1010202012205
114365851850
121b887722b9
13c677ca618
146cad0a697
153ea9b3670
hex260165a2d

10202012205 has 128 divisors (see below), whose sum is σ = 21824225280. Its totient is φ = 3939287040.

The previous prime is 10202012203. The next prime is 10202012243. The reversal of 10202012205 is 50221020201.

It is not a de Polignac number, because 10202012205 - 21 = 10202012203 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202012201) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1547877 + ... + 1554453.

It is an arithmetic number, because the mean of its divisors is an integer number (170501760).

Almost surely, 210202012205 is an apocalyptic number.

10202012205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10202012205 is an abundant number, since it is smaller than the sum of its proper divisors (11622213075).

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

10202012205 is a wasteful number, since it uses less digits than its factorization.

10202012205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6699.

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 10202012205 its reverse (50221020201), we get a palindrome (60423032406).

The spelling of 10202012205 in words is "ten billion, two hundred two million, twelve thousand, two hundred five".

Divisors: 1 3 5 7 11 15 17 21 33 35 51 55 77 79 85 105 119 165 187 231 237 255 357 385 395 553 561 595 869 935 1155 1185 1309 1343 1659 1785 2607 2765 2805 3927 4029 4345 6083 6545 6577 6715 8295 9401 13035 14773 18249 19635 19731 20145 28203 30415 32885 44319 46039 47005 72347 73865 91245 98655 103411 111809 138117 141015 217041 221595 230195 310233 335427 361735 506429 517055 519583 559045 690585 782663 1085205 1229899 1519287 1551165 1558749 1677135 2347989 2532145 2597915 3637081 3689697 3913315 5715413 6149495 7596435 7793745 8609293 8832911 10911243 11739945 17146239 18185405 18448485 25827879 26498733 28577065 40007891 43046465 44164555 54556215 61830377 85731195 97162021 120023673 129139395 132493665 185491131 200039455 291486063 309151885 485810105 600118365 680134147 927455655 1457430315 2040402441 3400670735 10202012205