Search a number
-
+
10134591210 = 234531140231
BaseRepresentation
bin10010111000001000…
…11001011011101010
3222011022000120120000
421130010121123222
5131223423404320
64353351243430
7506100414102
oct113404313352
928138016500
1010134591210
114330792417
121b6a079576
13c56852943
146c1d9a202
153e4ae6c90
hex25c1196ea

10134591210 has 80 divisors (see below), whose sum is σ = 27339092352. Its totient is φ = 2693800800.

The previous prime is 10134591193. The next prime is 10134591211. The reversal of 10134591210 is 1219543101.

It is a happy number.

10134591210 is a `hidden beast` number, since 101 + 345 + 9 + 1 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10134591211) 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, 231795 + ... + 272025.

Almost surely, 210134591210 is an apocalyptic number.

10134591210 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 10134591210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13669546176).

10134591210 is an abundant number, since it is smaller than the sum of its proper divisors (17204501142).

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

10134591210 is a wasteful number, since it uses less digits than its factorization.

10134591210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40561 (or 40552 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 10134591210 in words is "ten billion, one hundred thirty-four million, five hundred ninety-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 311 405 622 810 933 1555 1866 2799 3110 4665 5598 8397 9330 13995 16794 25191 27990 40231 41985 50382 80462 83970 120693 125955 201155 241386 251910 362079 402310 603465 724158 1086237 1206930 1810395 2172474 3258711 3620790 5431185 6517422 10862370 12511841 16293555 25023682 32587110 37535523 62559205 75071046 112606569 125118410 187677615 225213138 337819707 375355230 563032845 675639414 1013459121 1126065690 1689098535 2026918242 3378197070 5067295605 10134591210