Search a number
-
+
122424104413332 = 2232191108531640519
BaseRepresentation
bin11011110101100000010101…
…010000010110100010010100
3121001110122000022220022202200
4123311200111100112202110
5112021244031212211312
61112212505051204500
734533564301546611
oct3365402520264224
9531418008808680
10122424104413332
113600a853395947
1211892740a46730
13534070b125c37
14223350313b508
15e247ea2950dc
hex6f5815416894

122424104413332 has 72 divisors (see below), whose sum is σ = 311109997685760. Its totient is φ = 40590615046080.

The previous prime is 122424104413249. The next prime is 122424104413357. The reversal of 122424104413332 is 233314401424221.

122424104413332 is a `hidden beast` number, since 1 + 2 + 2 + 42 + 410 + 44 + 133 + 32 = 666.

It is a super-2 number, since 2×1224241044133322 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73804969 + ... + 75445487.

It is an arithmetic number, because the mean of its divisors is an integer number (4320972190080).

Almost surely, 2122424104413332 is an apocalyptic number.

122424104413332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122424104413332 is an abundant number, since it is smaller than the sum of its proper divisors (188685893272428).

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

122424104413332 is a wasteful number, since it uses less digits than its factorization.

122424104413332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651573 (or 1651568 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 122424104413332 its reverse (233314401424221), we get a palindrome (355738505837553).

The spelling of 122424104413332 in words is "one hundred twenty-two trillion, four hundred twenty-four billion, one hundred four million, four hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 191 382 573 764 1146 1719 2292 3438 6876 10853 21706 32559 43412 65118 97677 130236 195354 390708 1640519 2072923 3281038 4145846 4921557 6218769 6562076 8291692 9843114 12437538 14764671 18656307 19686228 24875076 29529342 37312614 59058684 74625228 313339129 626678258 940017387 1253356516 1880034774 2820052161 3760069548 5640104322 11280208644 17804552707 35609105414 53413658121 71218210828 106827316242 160240974363 213654632484 320481948726 640963897452 3400669567037 6801339134074 10202008701111 13602678268148 20404017402222 30606026103333 40808034804444 61212052206666 122424104413332