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103213342320 = 24351147831829
BaseRepresentation
bin110000000011111111…
…1101001111001110000
3100212102010010001020020
41200013333221321300
53142340103423240
6115225432043440
710312502635314
oct1400777517160
9325363101206
10103213342320
113a855271810
1218005b33580
13996b47022a
144dd1b1db44
152a413c10d0
hex1807fe9e70

103213342320 has 160 divisors (see below), whose sum is σ = 356475755520. Its totient is φ = 24489016320.

The previous prime is 103213342319. The next prime is 103213342321. The reversal of 103213342320 is 23243312301.

It is an interprime number because it is at equal distance from previous prime (103213342319) and next prime (103213342321).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103213342321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291835 + ... + 539994.

It is an arithmetic number, because the mean of its divisors is an integer number (2227973472).

Almost surely, 2103213342320 is an apocalyptic number.

103213342320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103213342320 is an abundant number, since it is smaller than the sum of its proper divisors (253262413200).

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

103213342320 is a wasteful number, since it uses less digits than its factorization.

103213342320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831903 (or 831897 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 103213342320 its reverse (23243312301), we get a palindrome (126456654621).

The spelling of 103213342320 in words is "one hundred three billion, two hundred thirteen million, three hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 47 48 55 60 66 80 88 94 110 120 132 141 165 176 188 220 235 240 264 282 330 376 440 470 517 528 564 660 705 752 880 940 1034 1128 1320 1410 1551 1880 2068 2256 2585 2640 2820 3102 3760 4136 5170 5640 6204 7755 8272 10340 11280 12408 15510 20680 24816 31020 41360 62040 124080 831829 1663658 2495487 3327316 4159145 4990974 6654632 8318290 9150119 9981948 12477435 13309264 16636580 18300238 19963896 24954870 27450357 33273160 36600476 39095963 39927792 45750595 49909740 54900714 66546320 73200952 78191926 91501190 99819480 109801428 117287889 137251785 146401904 156383852 183002380 195479815 199638960 219602856 234575778 274503570 312767704 366004760 390959630 430055593 439205712 469151556 549007140 586439445 625535408 732009520 781919260 860111186 938303112 1098014280 1172878890 1290166779 1563838520 1720222372 1876606224 2150277965 2196028560 2345757780 2580333558 3127677040 3440444744 4300555930 4691515560 5160667116 6450833895 6880889488 8601111860 9383031120 10321334232 12901667790 17202223720 20642668464 25803335580 34404447440 51606671160 103213342320