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10202002434 = 2331373227877
BaseRepresentation
bin10011000000001011…
…00011010000000010
3222022222212102101000
421200011203100002
5131343203034214
64404200152430
7510546406221
oct114005432002
928288772330
1010202002434
114365845478
121b88768716
13c677c6040
146cad06cb8
153ea9b0809
hex260163402

10202002434 has 128 divisors (see below), whose sum is σ = 24886874880. Its totient is φ = 3078922752.

The previous prime is 10202002403. The next prime is 10202002463. The reversal of 10202002434 is 43420020201.

10202002434 is a `hidden beast` number, since 10 + 20 + 200 + 2 + 434 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11632404 + ... + 11633280.

It is an arithmetic number, because the mean of its divisors is an integer number (194428710).

Almost surely, 210202002434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202002434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12443437440).

10202002434 is an abundant number, since it is smaller than the sum of its proper divisors (14684872446).

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

10202002434 is a wasteful number, since it uses less digits than its factorization.

10202002434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10202002434 its reverse (43420020201), we get a palindrome (53622022635).

The spelling of 10202002434 in words is "ten billion, two hundred two million, two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 73 78 117 146 219 227 234 351 438 454 657 681 702 877 949 1314 1362 1754 1898 1971 2043 2631 2847 2951 3942 4086 5262 5694 5902 6129 7893 8541 8853 11401 12258 15786 16571 17082 17706 22802 23679 25623 26559 33142 34203 47358 49713 51246 53118 64021 68406 79677 99426 102609 128042 149139 159354 192063 199079 205218 215423 298278 307827 384126 398158 430846 447417 576189 597237 615654 646269 832273 894834 1152378 1194474 1292538 1664546 1728567 1791711 1938807 2496819 2588027 3457134 3583422 3877614 4993638 5176054 5375133 5816421 7490457 7764081 10750266 11632842 14532767 14980914 15528162 22471371 23292243 29065534 43598301 44942742 46584486 69876729 87196602 130794903 139753458 188925971 261589806 377851942 392384709 566777913 784769418 1133555826 1700333739 3400667478 5101001217 10202002434