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1233130401321 = 37136783812257
BaseRepresentation
bin10001111100011100010…
…011001010111000101001
311100212220222101212200020
4101330130103022320221
5130200422340320241
62342254200031053
7155043056316240
oct21743423127051
94325828355606
101233130401321
11435a70a66a55
1217aba4a62489
138c38c390680
1443980601957
1522123565b66
hex11f1c4cae29

1233130401321 has 64 divisors (see below), whose sum is σ = 2078548727808. Its totient is φ = 633013843968.

The previous prime is 1233130401319. The next prime is 1233130401383. The reversal of 1233130401321 is 1231040313321.

It is not a de Polignac number, because 1233130401321 - 21 = 1233130401319 is a prime.

It is a super-3 number, since 3×12331304013213 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1233130401291 and 1233130401300.

It is not an unprimeable number, because it can be changed into a prime (1233130401421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1112025 + ... + 1924281.

It is an arithmetic number, because the mean of its divisors is an integer number (32477323872).

Almost surely, 21233130401321 is an apocalyptic number.

It is an amenable number.

1233130401321 is a deficient number, since it is larger than the sum of its proper divisors (845418326487).

1233130401321 is a wasteful number, since it uses less digits than its factorization.

1233130401321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812430.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1233130401321 its reverse (1231040313321), we get a palindrome (2464170714642).

The spelling of 1233130401321 in words is "one trillion, two hundred thirty-three billion, one hundred thirty million, four hundred one thousand, three hundred twenty-one".

Divisors: 1 3 7 13 21 39 67 83 91 201 249 273 469 581 871 1079 1407 1743 2613 3237 5561 6097 7553 16683 18291 22659 38927 72293 116781 216879 506051 812257 1518153 2436771 5685799 10559341 17057397 31678023 54421219 67417331 73915387 163263657 202251993 221746161 380948533 471921317 707475847 876425303 1142845599 1415763951 2122427541 2629275909 4516961177 4952330929 6134977121 13550883531 14856992787 18404931363 31618728239 58720495301 94856184717 176161485903 411043467107 1233130401321