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103204341312 = 2637123893169
BaseRepresentation
bin110000000011101110…
…1010100011001000000
3100212101111011202011120
41200013131110121000
53142330302410222
6115224511112240
710312333266312
oct1400735243100
9325344152146
10103204341312
113a850184166
1218002b12680
13996963b2a7
144dd08597b2
152a406e415c
hex1807754640

103204341312 has 112 divisors (see below), whose sum is σ = 277110748800. Its totient is φ = 33892024320.

The previous prime is 103204341307. The next prime is 103204341329. The reversal of 103204341312 is 213143402301.

It is a happy number.

It is a super-2 number, since 2×1032043413122 (a number of 23 digits) contains 22 as substring.

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

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, 32565264 + ... + 32568432.

Almost surely, 2103204341312 is an apocalyptic number.

103204341312 is a gapful number since it is divisible by the number (12) 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 103204341312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138555374400).

103204341312 is an abundant number, since it is smaller than the sum of its proper divisors (173906407488).

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

103204341312 is a wasteful number, since it uses less digits than its factorization.

103204341312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5644 (or 5634 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 103204341312 its reverse (213143402301), we get a palindrome (316347743613).

The spelling of 103204341312 in words is "one hundred three billion, two hundred four million, three hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 284 426 568 852 1136 1704 2272 2389 3169 3408 4544 4778 6338 6816 7167 9507 9556 12676 13632 14334 19014 19112 25352 28668 38028 38224 50704 57336 76056 76448 101408 114672 152112 152896 169619 202816 224999 229344 304224 339238 449998 458688 508857 608448 674997 678476 899996 1017714 1349994 1356952 1799992 2035428 2699988 2713904 3599984 4070856 5399976 5427808 7199968 7570741 8141712 10799952 10855616 14399936 15141482 16283424 21599904 22712223 30282964 32566848 43199808 45424446 60565928 90848892 121131856 181697784 242263712 363395568 484527424 537522611 726791136 1075045222 1453582272 1612567833 2150090444 3225135666 4300180888 6450271332 8600361776 12900542664 17200723552 25801085328 34401447104 51602170656 103204341312