Search a number
-
+
130153154430 = 2351313116315629
BaseRepresentation
bin111100100110110111…
…0111000011101111110
3110102221121010022000010
41321031232320131332
54113023201420210
6135442545444050
712255213362505
oct1711556703576
9412847108003
10130153154430
115021a076342
1221284040626
13c372839460
14642997583c
1535bb517920
hex1e4dbb877e

130153154430 has 128 divisors (see below), whose sum is σ = 341065105920. Its totient is φ = 31596065280.

The previous prime is 130153154429. The next prime is 130153154449. The reversal of 130153154430 is 34451351031.

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

It is a congruent number.

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, 8319856 + ... + 8335484.

It is an arithmetic number, because the mean of its divisors is an integer number (2664571140).

Almost surely, 2130153154430 is an apocalyptic number.

130153154430 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 130153154430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170532552960).

130153154430 is an abundant number, since it is smaller than the sum of its proper divisors (210911951490).

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

130153154430 is a wasteful number, since it uses less digits than its factorization.

130153154430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15946.

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 130153154430 in words is "one hundred thirty billion, one hundred fifty-three million, one hundred fifty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 131 163 195 262 326 390 393 489 655 786 815 978 1310 1630 1703 1965 2119 2445 3406 3930 4238 4890 5109 6357 8515 10218 10595 12714 15629 17030 21190 21353 25545 31258 31785 42706 46887 51090 63570 64059 78145 93774 106765 128118 156290 203177 213530 234435 277589 320295 406354 468870 555178 609531 640590 832767 1015885 1219062 1387945 1665534 2031770 2047399 2547527 2775890 3047655 4094798 4163835 5095054 6095310 6142197 7642581 8327670 10236995 12284394 12737635 15285162 20473990 25475270 26616187 30710985 33117851 38212905 53232374 61421970 66235702 76425810 79848561 99353553 133080935 159697122 165589255 198707106 266161870 331178510 333726037 399242805 496767765 667452074 798485610 993535530 1001178111 1668630185 2002356222 3337260370 4338438481 5005890555 8676876962 10011781110 13015315443 21692192405 26030630886 43384384810 65076577215 130153154430