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100331232320 = 26511223127817
BaseRepresentation
bin101110101110000110…
…1010001110001000000
3100120222020220200120102
41131130031101301000
53120434243413240
6114031434301532
710151205255254
oct1353415216100
9316866820512
10100331232320
1139606401920
12175408878a8
1395cc3243b7
144bdb044264
152923367815
hex175c351c40

100331232320 has 112 divisors (see below), whose sum is σ = 261803985408. Its totient is φ = 36320194560.

The previous prime is 100331232319. The next prime is 100331232329. The reversal of 100331232320 is 23232133001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100331232292 and 100331232301.

It is not an unprimeable number, because it can be changed into a prime (100331232329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 721052 + ... + 848868.

It is an arithmetic number, because the mean of its divisors is an integer number (2337535584).

Almost surely, 2100331232320 is an apocalyptic number.

100331232320 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 100331232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130901992704).

100331232320 is an abundant number, since it is smaller than the sum of its proper divisors (161472753088).

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

100331232320 is a wasteful number, since it uses less digits than its factorization.

100331232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128068 (or 128058 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 100331232320 its reverse (23232133001), we get a palindrome (123563365321).

The spelling of 100331232320 in words is "one hundred billion, three hundred thirty-one million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 223 320 352 440 446 704 880 892 1115 1760 1784 2230 2453 3520 3568 4460 4906 7136 8920 9812 12265 14272 17840 19624 24530 35680 39248 49060 71360 78496 98120 127817 156992 196240 255634 392480 511268 639085 784960 1022536 1278170 1405987 2045072 2556340 2811974 4090144 5112680 5623948 7029935 8180288 10225360 11247896 14059870 20450720 22495792 28119740 28503191 40901440 44991584 56239480 57006382 89983168 112478960 114012764 142515955 224957920 228025528 285031910 313535101 449915840 456051056 570063820 627070202 912102112 1140127640 1254140404 1567675505 1824204224 2280255280 2508280808 3135351010 4560510560 5016561616 6270702020 9121021120 10033123232 12541404040 20066246464 25082808080 50165616160 100331232320