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100223421320 = 23511436779063
BaseRepresentation
bin101110101010111001…
…0000000101110001000
3100120200202001022200102
41131111302000232020
53120224143440240
6114013023424532
710145426011421
oct1352562005610
9316622038612
10100223421320
1139560565920
1217510755148
1395b2ba74c9
144bca9bc648
152918b6d815
hex1755c80b88

100223421320 has 128 divisors (see below), whose sum is σ = 255484247040. Its totient is φ = 35065578240.

The previous prime is 100223421289. The next prime is 100223421367. The reversal of 100223421320 is 23124322001.

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 = 100223421292 and 100223421301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1228109 + ... + 1307171.

It is an arithmetic number, because the mean of its divisors is an integer number (1995970680).

Almost surely, 2100223421320 is an apocalyptic number.

100223421320 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 100223421320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127742123520).

100223421320 is an abundant number, since it is smaller than the sum of its proper divisors (155260825720).

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

100223421320 is a wasteful number, since it uses less digits than its factorization.

100223421320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79195 (or 79191 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 100223421320 its reverse (23124322001), we get a palindrome (123347743321).

The spelling of 100223421320 in words is "one hundred billion, two hundred twenty-three million, four hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 67 86 88 110 134 172 215 220 268 335 344 430 440 473 536 670 737 860 946 1340 1474 1720 1892 2365 2680 2881 2948 3685 3784 4730 5762 5896 7370 9460 11524 14405 14740 18920 23048 28810 29480 31691 57620 63382 79063 115240 126764 158126 158455 253528 316252 316910 395315 632504 633820 790630 869693 1267640 1581260 1739386 3162520 3399709 3478772 4348465 5297221 6799418 6957544 8696930 10594442 13598836 16998545 17393860 21188884 26486105 27197672 33997090 34787720 37396799 42377768 52972210 58269431 67994180 74793598 105944420 116538862 135988360 149587196 186983995 211888840 227780503 233077724 291347155 299174392 373967990 455561006 466155448 582694310 747935980 911122012 1138902515 1165388620 1495871960 1822244024 2277805030 2330777240 2505585533 4555610060 5011171066 9111220120 10022342132 12527927665 20044684264 25055855330 50111710660 100223421320