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101001311320 = 23571327747613
BaseRepresentation
bin101111000010000100…
…1011011010001011000
3100122200221210020011011
41132010021123101120
53123322313430240
6114222132343304
710203622660330
oct1360411332130
9318627706134
10101001311320
113991a675118
12176a9174b34
1396a80b8750
144c620300c0
1529620c96ea
hex178425b458

101001311320 has 64 divisors (see below), whose sum is σ = 279695949120. Its totient is φ = 31965249024.

The previous prime is 101001311237. The next prime is 101001311339. The reversal of 101001311320 is 23113100101.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 101001311320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13870167 + ... + 13877446.

It is an arithmetic number, because the mean of its divisors is an integer number (4370249205).

Almost surely, 2101001311320 is an apocalyptic number.

101001311320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001311320 is an abundant number, since it is smaller than the sum of its proper divisors (178694637800).

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

101001311320 is a wasteful number, since it uses less digits than its factorization.

101001311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27747644 (or 27747640 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 101001311320 its reverse (23113100101), we get a palindrome (124114411421).

The spelling of 101001311320 in words is "one hundred one billion, one million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 27747613 55495226 110990452 138738065 194233291 221980904 277476130 360718969 388466582 554952260 721437938 776933164 971166455 1109904520 1442875876 1553866328 1803594845 1942332910 2525032783 2885751752 3607189690 3884665820 5050065566 7214379380 7769331640 10100131132 12625163915 14428758760 20200262264 25250327830 50500655660 101001311320