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10000100232320 = 275111453977611
BaseRepresentation
bin1001000110000101010001…
…1011000000110010000000
31022102000000011211120201112
42101201110123000302000
52302320201124413240
633133552125222452
72051324543324642
oct221412433006200
938360004746645
1010000100232320
113206022974050
121156105401a28
1357700bb509a3
14268016580892
151251d3b41665
hex918546c0c80

10000100232320 has 128 divisors (see below), whose sum is σ = 26097782489280. Its totient is φ = 3633893683200.

The previous prime is 10000100232319. The next prime is 10000100232341. The reversal of 10000100232320 is 2323200100001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 10000100232295 and 10000100232304.

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, 9740315 + ... + 10717925.

Almost surely, 210000100232320 is an apocalyptic number.

10000100232320 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 10000100232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13048891244640).

10000100232320 is an abundant number, since it is smaller than the sum of its proper divisors (16097682256960).

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

10000100232320 is a wasteful number, since it uses less digits than its factorization.

10000100232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979094 (or 979082 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10000100232320 its reverse (2323200100001), we get a palindrome (12323300332321).

The spelling of 10000100232320 in words is "ten trillion, one hundred 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 88 110 128 160 176 220 320 352 440 640 704 880 1408 1453 1760 2906 3520 5812 7040 7265 11624 14530 15983 23248 29060 31966 46496 58120 63932 79915 92992 116240 127864 159830 185984 232480 255728 319660 464960 511456 639320 929920 977611 1022912 1278640 1955222 2045824 2557280 3910444 4888055 5114560 7820888 9776110 10229120 10753721 15641776 19552220 21507442 31283552 39104440 43014884 53768605 62567104 78208880 86029768 107537210 125134208 156417760 172059536 215074420 312835520 344119072 430148840 625671040 688238144 860297680 1376476288 1420468783 1720595360 2840937566 3441190720 5681875132 6882381440 7102343915 11363750264 14204687830 15625156613 22727500528 28409375660 31250313226 45455001056 56818751320 62500626452 78125783065 90910002112 113637502640 125001252904 156251566130 181820004224 227275005280 250002505808 312503132260 454550010560 500005011616 625006264520 909100021120 1000010023232 1250012529040 2000020046464 2500025058080 5000050116160 10000100232320