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100211130320 = 2457208385909
BaseRepresentation
bin101110101010100001…
…1000111111111010000
3100120122212220212121012
41131111003013333100
53120213022132240
6114011504150052
710145216360540
oct1352503077720
9316585825535
10100211130320
1139554630474
1217508608328
1395b0492c22
144bc90dd320
152917a41b65
hex17550c7fd0

100211130320 has 80 divisors (see below), whose sum is σ = 266406222720. Its totient is φ = 34341207552.

The previous prime is 100211130311. The next prime is 100211130449. The reversal of 100211130320 is 23031112001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 100211130295 and 100211130304.

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, 1123526 + ... + 1209434.

It is an arithmetic number, because the mean of its divisors is an integer number (3330077784).

Almost surely, 2100211130320 is an apocalyptic number.

100211130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211130320 is an abundant number, since it is smaller than the sum of its proper divisors (166195092400).

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

100211130320 is a wasteful number, since it uses less digits than its factorization.

100211130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88012 (or 88006 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100211130320 its reverse (23031112001), we get a palindrome (123242242321).

The spelling of 100211130320 in words is "one hundred billion, two hundred eleven million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 2083 4166 8332 10415 14581 16664 20830 29162 33328 41660 58324 72905 83320 85909 116648 145810 166640 171818 233296 291620 343636 429545 583240 601363 687272 859090 1166480 1202726 1374544 1718180 2405452 3006815 3436360 4810904 6013630 6872720 9621808 12027260 24054520 48109040 178948447 357896894 715793788 894742235 1252639129 1431587576 1789484470 2505278258 2863175152 3578968940 5010556516 6263195645 7157937880 10021113032 12526391290 14315875760 20042226064 25052782580 50105565160 100211130320