Search a number
-
+
13114142100 = 22325247310027
BaseRepresentation
bin11000011011010100…
…11110110110010100
31020211221120102222200
430031222132312110
5203324210021400
610005145324500
7642660240303
oct141552366624
936757512880
1013114142100
11561a656074
12265ba96730
13130cc274c7
148c599c43a
1551b49bb00
hex30da9ed94

13114142100 has 108 divisors (see below), whose sum is σ = 41980271424. Its totient is φ = 3422687040.

The previous prime is 13114142081. The next prime is 13114142123. The reversal of 13114142100 is 124141131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 112714 + ... + 197313.

Almost surely, 213114142100 is an apocalyptic number.

13114142100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13114142100 is an abundant number, since it is smaller than the sum of its proper divisors (28866129324).

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

13114142100 is a wasteful number, since it uses less digits than its factorization.

13114142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310094 (or 310084 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 13114142100 its reverse (124141131), we get a palindrome (13238283231).

The spelling of 13114142100 in words is "thirteen billion, one hundred fourteen million, one hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 47 50 60 75 90 94 100 141 150 180 188 225 235 282 300 423 450 470 564 705 846 900 940 1175 1410 1692 2115 2350 2820 3525 4230 4700 7050 8460 10575 14100 21150 42300 310027 620054 930081 1240108 1550135 1860162 2790243 3100270 3720324 4650405 5580486 6200540 7750675 9300810 11160972 13951215 14571269 15501350 18601620 23252025 27902430 29142538 31002700 43713807 46504050 55804860 58285076 69756075 72856345 87427614 93008100 131141421 139512150 145712690 174855228 218569035 262282842 279024300 291425380 364281725 437138070 524565684 655707105 728563450 874276140 1092845175 1311414210 1457126900 2185690350 2622828420 3278535525 4371380700 6557071050 13114142100