Search a number
-
+
105152234520 = 23351751545213
BaseRepresentation
bin110000111101110001…
…1111100010000011000
3101001102020110222022110
41201323203330100120
53210322433001040
6120150053152320
710411525150254
oct1417343742030
9331366428273
10105152234520
114065a771163
121846732b6a0
139bba070318
14513742d264
152b06712980
hex187b8fc418

105152234520 has 64 divisors (see below), whose sum is σ = 334012986720. Its totient is φ = 26391148544.

The previous prime is 105152234519. The next prime is 105152234521. The reversal of 105152234520 is 25432251501.

It is an interprime number because it is at equal distance from previous prime (105152234519) and next prime (105152234521).

It is a super-2 number, since 2×1051522345202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105152234521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25770567 + ... + 25774646.

Almost surely, 2105152234520 is an apocalyptic number.

105152234520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105152234520 is an abundant number, since it is smaller than the sum of its proper divisors (228860752200).

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

105152234520 is a wasteful number, since it uses less digits than its factorization.

105152234520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51545244 (or 51545240 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 105152234520 in words is "one hundred five billion, one hundred fifty-two million, two hundred thirty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 51545213 103090426 154635639 206180852 257726065 309271278 412361704 515452130 618542556 773178195 876268621 1030904260 1237085112 1546356390 1752537242 2061808520 2628805863 3092712780 3505074484 4381343105 5257611726 6185425560 7010148968 8762686210 10515223452 13144029315 17525372420 21030446904 26288058630 35050744840 52576117260 105152234520