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151513421200 = 24523839411051
BaseRepresentation
bin1000110100011011100…
…1110101010110010000
3112111002020020021110121
42031012321311112100
54440244413434300
6153334310240024
713642433554651
oct2150671652620
9474066207417
10151513421200
1159290415979
1225445656014
1311397c9056b
147494789528
153e1b8ca81a
hex2346e75590

151513421200 has 120 divisors (see below), whose sum is σ = 365696879616. Its totient is φ = 60325440000.

The previous prime is 151513421161. The next prime is 151513421203. The reversal of 151513421200 is 2124315151.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (151513421203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144160675 + ... + 144161725.

Almost surely, 2151513421200 is an apocalyptic number.

151513421200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151513421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182848439808).

151513421200 is an abundant number, since it is smaller than the sum of its proper divisors (214183458416).

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

151513421200 is a wasteful number, since it uses less digits than its factorization.

151513421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 151513421200 its reverse (2124315151), we get a palindrome (153637736351).

The spelling of 151513421200 in words is "one hundred fifty-one billion, five hundred thirteen million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 383 400 766 941 1051 1532 1882 1915 2102 3064 3764 3830 4204 4705 5255 6128 7528 7660 8408 9410 9575 10510 15056 15320 16816 18820 19150 21020 23525 26275 30640 37640 38300 42040 47050 52550 75280 76600 84080 94100 105100 153200 188200 210200 360403 376400 402533 420400 720806 805066 988991 1441612 1610132 1802015 1977982 2012665 2883224 3220264 3604030 3955964 4025330 4944955 5766448 6440528 7208060 7911928 8050660 9010075 9889910 10063325 14416120 15823856 16101320 18020150 19779820 20126650 24724775 28832240 32202640 36040300 39559640 40253300 49449550 72080600 79119280 80506600 98899100 144161200 161013200 197798200 378783553 395596400 757567106 1515134212 1893917765 3030268424 3787835530 6060536848 7575671060 9469588825 15151342120 18939177650 30302684240 37878355300 75756710600 151513421200