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2342321122152 = 2331141948743481
BaseRepresentation
bin100010000101011101001…
…101111110101101101000
322021220221101102122012210
4202011131031332231220
5301334033201402102
64552014130405120
7331140621014244
oct42053515765550
98256841378183
102342321122152
118234112335a0
12319b5a7307a0
1313cb592a479b
1481524569424
1540de0d1836c
hex2215d37eb68

2342321122152 has 128 divisors (see below), whose sum is σ = 6416690918400. Its totient is φ = 706630003200.

The previous prime is 2342321122151. The next prime is 2342321122171. The reversal of 2342321122152 is 2512211232432.

It is a happy number.

It is a super-2 number, since 2×23423211221522 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2342321122151) 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, 53848252 + ... + 53891732.

It is an arithmetic number, because the mean of its divisors is an integer number (50130397800).

Almost surely, 22342321122152 is an apocalyptic number.

2342321122152 is a gapful number since it is divisible by the number (22) 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 2342321122152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208345459200).

2342321122152 is an abundant number, since it is smaller than the sum of its proper divisors (4074369796248).

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

2342321122152 is a wasteful number, since it uses less digits than its factorization.

2342321122152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44407 (or 44403 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

Adding to 2342321122152 its reverse (2512211232432), we get a palindrome (4854532354584).

The spelling of 2342321122152 in words is "two trillion, three hundred forty-two billion, three hundred twenty-one million, one hundred twenty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 419 487 838 974 1257 1461 1676 1948 2514 2922 3352 3896 4609 5028 5357 5844 9218 10056 10714 11688 13827 16071 18436 21428 27654 32142 36872 42856 43481 55308 64284 86962 110616 128568 130443 173924 204053 260886 347848 408106 478291 521772 612159 816212 956582 1043544 1224318 1434873 1632424 1913164 2244583 2448636 2869746 3826328 4489166 4897272 5739492 6733749 8978332 11478984 13467498 17956664 18218539 21175247 26934996 36437078 42350494 53869992 54655617 63525741 72874156 84700988 109311234 127051482 145748312 169401976 200403929 218622468 232927717 254102964 400807858 437244936 465855434 508205928 601211787 698783151 801615716 931710868 1202423574 1397566302 1603231432 1863421736 2404847148 2795132604 4809694296 5590265208 8872428493 17744856986 26617285479 35489713972 53234570958 70979427944 97596713423 106469141916 195193426846 212938283832 292790140269 390386853692 585580280538 780773707384 1171160561076 2342321122152