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10202112000210 = 235131031511168083
BaseRepresentation
bin1001010001110101110101…
…0000110000000011010010
31100010022102201121122221210
42110131131100300003102
52314122411133001320
633410441402400550
72102035563115314
oct224353520600322
940108381548853
1010202112000210
11328376728a239
1211892a2800156
13590093ba7660
14273adb9017b4
1512a5a8a000e0
hex9475d4300d2

10202112000210 has 128 divisors (see below), whose sum is σ = 26642319814656. Its totient is φ = 2485247005440.

The previous prime is 10202112000191. The next prime is 10202112000239. The reversal of 10202112000210 is 1200021120201.

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, 60612829 + ... + 60780911.

It is an arithmetic number, because the mean of its divisors is an integer number (208143123552).

Almost surely, 210202112000210 is an apocalyptic number.

10202112000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202112000210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13321159907328).

10202112000210 is an abundant number, since it is smaller than the sum of its proper divisors (16440207814446).

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

10202112000210 is a wasteful number, since it uses less digits than its factorization.

10202112000210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169720.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10202112000210 its reverse (1200021120201), we get a palindrome (11402133120411).

The spelling of 10202112000210 in words is "ten trillion, two hundred two billion, one hundred twelve million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 103 130 195 206 309 390 515 618 1030 1339 1511 1545 2678 3022 3090 4017 4533 6695 7555 8034 9066 13390 15110 19643 20085 22665 39286 40170 45330 58929 98215 117858 155633 168083 196430 294645 311266 336166 466899 504249 589290 778165 840415 933798 1008498 1556330 1680830 2023229 2185079 2334495 2521245 4046458 4370158 4668990 5042490 6069687 6555237 10116145 10925395 12139374 13110474 17312549 20232290 21850790 30348435 32776185 34625098 51937647 60696870 65552370 86562745 103875294 173125490 225063137 253973413 259688235 450126274 507946826 519376470 675189411 761920239 1125315685 1269867065 1350378822 1523840478 2250631370 2539734130 3301654369 3375947055 3809601195 6603308738 6751894110 7619202390 9904963107 16508271845 19809926214 26159261539 33016543690 49524815535 52318523078 78477784617 99049631070 130796307695 156955569234 261592615390 340070400007 392388923085 680140800014 784777846170 1020211200021 1700352000035 2040422400042 3400704000070 5101056000105 10202112000210