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103464222912 = 2633411460369
BaseRepresentation
bin110000001011011110…
…0101100000011000000
3100220001121012002201000
41200112330230003000
53143343320113122
6115310353212000
710321640245521
oct1402674540300
9326047162630
10103464222912
113a973947046
1218075b61000
1399ab43069b
145017188848
152a5842b0ac
hex1816f2c0c0

103464222912 has 112 divisors (see below), whose sum is σ = 311584543200. Its totient is φ = 33646878720.

The previous prime is 103464222907. The next prime is 103464222919. The reversal of 103464222912 is 219222464301.

It is a happy number.

103464222912 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 642 + 2 + 2 + 9 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (103464222919) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 659337 + ... + 801032.

It is an arithmetic number, because the mean of its divisors is an integer number (2782004850).

Almost surely, 2103464222912 is an apocalyptic number.

103464222912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103464222912 is an abundant number, since it is smaller than the sum of its proper divisors (208120320288).

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

103464222912 is a wasteful number, since it uses less digits than its factorization.

103464222912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460431 (or 1460415 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 103464222912 in words is "one hundred three billion, four hundred sixty-four million, two hundred twenty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 144 164 192 216 246 288 328 369 432 492 576 656 738 864 984 1107 1312 1476 1728 1968 2214 2624 2952 3936 4428 5904 7872 8856 11808 17712 23616 35424 70848 1460369 2920738 4381107 5841476 8762214 11682952 13143321 17524428 23365904 26286642 35048856 39429963 46731808 52573284 59875129 70097712 78859926 93463616 105146568 119750258 140195424 157719852 179625387 210293136 239500516 280390848 315439704 359250774 420586272 479001032 538876161 630879408 718501548 841172544 958002064 1077752322 1261758816 1437003096 1616628483 1916004128 2155504644 2523517632 2874006192 3233256966 3832008256 4311009288 5748012384 6466513932 8622018576 11496024768 12933027864 17244037152 25866055728 34488074304 51732111456 103464222912