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10323013100100 = 22352793733116681
BaseRepresentation
bin1001011000111000001110…
…0001110110001001000100
31100112212111112100220010020
42112032003201312021010
52323113012323200400
633542154324455140
72113545613400151
oct226160341661104
940485445326106
1010323013100100
11331aa68858008
1211a880424a4b0
1359b5c0981c0c
142798ca7ad228
1512d7d2b4d2a0
hex96383876244

10323013100100 has 144 divisors (see below), whose sum is σ = 30254354430720. Its totient is φ = 2717206502400.

The previous prime is 10323013100089. The next prime is 10323013100131. The reversal of 10323013100100 is 100131032301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10323013100100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88413760 + ... + 88530440.

Almost surely, 210323013100100 is an apocalyptic number.

10323013100100 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 10323013100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15127177215360).

10323013100100 is an abundant number, since it is smaller than the sum of its proper divisors (19931341330620).

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

10323013100100 is a wasteful number, since it uses less digits than its factorization.

10323013100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120510 (or 120503 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10323013100100 its reverse (100131032301), we get a palindrome (10423144132401).

The spelling of 10323013100100 in words is "ten trillion, three hundred twenty-three billion, thirteen million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 150 158 237 300 316 395 474 790 948 1185 1580 1975 2370 3733 3950 4740 5925 7466 7900 11199 11850 14932 18665 22398 23700 37330 44796 55995 74660 93325 111990 116681 186650 223980 233362 279975 294907 350043 373300 466724 559950 583405 589814 700086 884721 1119900 1166810 1179628 1400172 1474535 1750215 1769442 2333620 2917025 2949070 3500430 3538884 4423605 5834050 5898140 7000860 7372675 8751075 8847210 9217799 11668100 14745350 17502150 17694420 18435598 22118025 27653397 29490700 35004300 36871196 44236050 46088995 55306794 88472100 92177990 110613588 138266985 184355980 230444975 276533970 435570173 460889950 553067940 691334925 871140346 921779900 1306710519 1382669850 1742280692 2177850865 2613421038 2765339700 4355701730 5226842076 6533552595 8711403460 10889254325 13067105190 21778508650 26134210380 32667762975 34410043667 43557017300 65335525950 68820087334 103230131001 130671051900 137640174668 172050218335 206460262002 344100436670 412920524004 516150655005 688200873340 860251091675 1032301310010 1720502183350 2064602620020 2580753275025 3441004366700 5161506550050 10323013100100