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3122010013331 = 11172341101175291
BaseRepresentation
bin101101011011100110010…
…011000011111010010011
3102001110110020122010212202
4231123212103003322103
5402122334030411311
610350122005313415
7441362214154466
oct55334623037223
912043406563782
103122010013331
11aa4045297640
12425096a0586b
13198534289271
14ab16b1832dd
1556325dd8e3b
hex2d6e64c3e93

3122010013331 has 64 divisors (see below), whose sum is σ = 3892929610752. Its totient is φ = 2468083200000.

The previous prime is 3122010013307. The next prime is 3122010013357. The reversal of 3122010013331 is 1333100102213.

It is not a de Polignac number, because 3122010013331 - 26 = 3122010013267 is a prime.

It is a super-2 number, since 2×31220100133312 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3122010013831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17722796 + ... + 17898086.

It is an arithmetic number, because the mean of its divisors is an integer number (60827025168).

Almost surely, 23122010013331 is an apocalyptic number.

3122010013331 is a deficient number, since it is larger than the sum of its proper divisors (770919597421).

3122010013331 is a wasteful number, since it uses less digits than its factorization.

3122010013331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175484.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 3122010013331 its reverse (1333100102213), we get a palindrome (4455110115544).

The spelling of 3122010013331 in words is "three trillion, one hundred twenty-two billion, ten million, thirteen thousand, three hundred thirty-one".

Divisors: 1 11 17 23 41 101 187 253 391 451 697 943 1111 1717 2323 4141 4301 7667 10373 16031 18887 25553 39491 45551 70397 95243 175291 176341 434401 774367 1047673 1619131 1928201 2979947 4031693 7186931 17704391 17810441 32779417 44348623 68538781 79056241 122177827 165299413 194748301 300974647 407200993 725880031 753926591 1343956097 1818293543 2810090021 3310721117 4479210923 6922416881 7984680341 12339960527 16695240713 30910990231 76146585691 135739565797 183647647843 283819092121 3122010013331