Search a number
-
+
151340132020 = 225711234272731
BaseRepresentation
bin1000110011110010010…
…0110010011010110100
3112110122011011021101211
42030330210302122310
54434421033211040
6153305200131204
713635230616460
oct2147444623264
9473564137354
10151340132020
1159201617180
12253b7606b04
131136b0c909c
14747975b4a0
153e0b59a8ea
hex233c9326b4

151340132020 has 96 divisors (see below), whose sum is σ = 413463730176. Its totient is φ = 45120028800.

The previous prime is 151340132011. The next prime is 151340132051. The reversal of 151340132020 is 20231043151.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 151340131982 and 151340132000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2100946 + ... + 2171785.

It is an arithmetic number, because the mean of its divisors is an integer number (4306913856).

Almost surely, 2151340132020 is an apocalyptic number.

151340132020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151340132020 is an abundant number, since it is smaller than the sum of its proper divisors (262123598156).

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

151340132020 is a wasteful number, since it uses less digits than its factorization.

151340132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4272781 (or 4272779 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 151340132020 its reverse (20231043151), we get a palindrome (171571175171).

The spelling of 151340132020 in words is "one hundred fifty-one billion, three hundred forty million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 23 28 35 44 46 55 70 77 92 110 115 140 154 161 220 230 253 308 322 385 460 506 644 770 805 1012 1265 1540 1610 1771 2530 3220 3542 5060 7084 8855 17710 35420 4272731 8545462 17090924 21363655 29909117 42727310 47000041 59818234 85454620 94000082 98272813 119636468 149545585 188000164 196545626 235000205 299091170 329000287 393091252 470000410 491364065 598182340 658000574 687909691 940000820 982728130 1081000943 1316001148 1375819382 1645001435 1965456260 2162001886 2751638764 3290002870 3439548455 4324003772 5405004715 6580005740 6879096910 7567006601 10810009430 13758193820 15134013202 21620018860 30268026404 37835033005 75670066010 151340132020