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423122221324 = 2211191017396781
BaseRepresentation
bin1100010100001000000…
…11001011100100001100
31111110011010002220201101
412022010003023210030
523413023242040244
6522214001352444
742366235352665
oct6120403134414
91443133086641
10423122221324
11153499510520
126a006938724
1330b91b214ca
141669cdc836c
15b0167ec0d4
hex62840cb90c

423122221324 has 96 divisors (see below), whose sum is σ = 860001004800. Its totient is φ = 180131040000.

The previous prime is 423122221321. The next prime is 423122221331.

423122221324 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 423122221292 and 423122221301.

It is not an unprimeable number, because it can be changed into a prime (423122221321) 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, 62394814 + ... + 62401594.

It is an arithmetic number, because the mean of its divisors is an integer number (8958343800).

Almost surely, 2423122221324 is an apocalyptic number.

423122221324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

423122221324 is an abundant number, since it is smaller than the sum of its proper divisors (436878783476).

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

423122221324 is a wasteful number, since it uses less digits than its factorization.

423122221324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7655 (or 7653 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

It can be divided in two parts, 423122 and 221324, that added together give a palindrome (644446).

The spelling of 423122221324 in words is "four hundred twenty-three billion, one hundred twenty-two million, two hundred twenty-one thousand, three hundred twenty-four".

Divisors: 1 2 4 11 19 22 38 44 76 101 202 209 404 418 739 836 1111 1478 1919 2222 2956 3838 4444 6781 7676 8129 13562 14041 16258 21109 27124 28082 32516 42218 56164 74591 74639 84436 128839 149182 149278 154451 257678 298364 298556 308902 515356 617804 684881 821029 1369762 1417229 1418141 1642058 2739524 2834458 2836282 3284116 5011159 5668916 5672564 7533691 10022318 13012739 15067382 15599551 20044636 26025478 30134764 31199102 52050956 55122749 62398204 95212021 110245498 143140129 190424042 220490996 286280258 380848084 506127059 572560516 1012254118 1047332231 2024508236 2094664462 4189328924 5567397649 9616414121 11134795298 19232828242 22269590596 38465656484 105780555331 211561110662 423122221324