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20131333120 = 210513272963
BaseRepresentation
bin10010101111111010…
…111100010000000000
31220221222122200102101
4102233322330100000
5312212110124440
613125340200144
71311605336203
oct225772742000
956858580371
1020131333120
1185a0681598
123a99b39054
131b8a96c142
14d8d91193a
157cc55e69a
hex4afebc400

20131333120 has 88 divisors (see below), whose sum is σ = 48344310144. Its totient is φ = 8043749376.

The previous prime is 20131333109. The next prime is 20131333127. The reversal of 20131333120 is 2133313102.

It is not an unprimeable number, because it can be changed into a prime (20131333127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6792759 + ... + 6795721.

Almost surely, 220131333120 is an apocalyptic number.

20131333120 is a gapful number since it is divisible by the number (20) 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 20131333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24172155072).

20131333120 is an abundant number, since it is smaller than the sum of its proper divisors (28212977024).

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

20131333120 is a wasteful number, since it uses less digits than its factorization.

20131333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4315 (or 4297 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 20131333120 its reverse (2133313102), we get a palindrome (22264646222).

The spelling of 20131333120 in words is "twenty billion, one hundred thirty-one million, three hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 1327 2560 2654 2963 5120 5308 5926 6635 10616 11852 13270 14815 21232 23704 26540 29630 42464 47408 53080 59260 84928 94816 106160 118520 169856 189632 212320 237040 339712 379264 424640 474080 679424 758528 849280 948160 1358848 1517056 1698560 1896320 3034112 3397120 3792640 3931901 6794240 7585280 7863802 15170560 15727604 19659505 31455208 39319010 62910416 78638020 125820832 157276040 251641664 314552080 503283328 629104160 1006566656 1258208320 2013133312 2516416640 4026266624 5032833280 10065666560 20131333120