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232420133001433 = 132925714531650949
BaseRepresentation
bin110100110110001010000111…
…011101110101100011011001
31010110221010222200112110221011
4310312022013131311203121
5220430432413022021213
62142152200214013521
766645541364061226
oct6466120735654331
91113833880473834
10232420133001433
1168068908998543
12220986b43472a1
139c8c1806a5110
1441572a184a94d
151bd0baaecd03d
hexd362877758d9

232420133001433 has 32 divisors (see below), whose sum is σ = 260116153668000. Its totient is φ = 206195533479936.

The previous prime is 232420133001409. The next prime is 232420133001467. The reversal of 232420133001433 is 334100331024232.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 3890034348489 + 228530098652944 = 1972317^2 + 15117212^2 .

It is not a de Polignac number, because 232420133001433 - 245 = 197235760912601 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 232420133001395 and 232420133001404.

It is not an unprimeable number, because it can be changed into a prime (232420133001473) 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, 139954243 + ... + 141605191.

It is an arithmetic number, because the mean of its divisors is an integer number (8128629802125).

Almost surely, 2232420133001433 is an apocalyptic number.

It is an amenable number.

232420133001433 is a deficient number, since it is larger than the sum of its proper divisors (27696020666567).

232420133001433 is a wasteful number, since it uses less digits than its factorization.

232420133001433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652701.

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 232420133001433 its reverse (334100331024232), we get a palindrome (566520464025665).

The spelling of 232420133001433 in words is "two hundred thirty-two trillion, four hundred twenty billion, one hundred thirty-three million, one thousand, four hundred thirty-three".

Divisors: 1 13 29 257 377 1453 3341 7453 18889 42137 96889 373421 547781 1650949 4854473 10829209 21462337 47877521 140779717 424293893 622407773 2398828897 5515820609 12304522897 31184775661 69566038013 159958797661 616499026529 904358494169 8014487344877 17878471769341 232420133001433