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31022222013 = 32171926783101
BaseRepresentation
bin11100111001000100…
…011000101010111101
32222001222210011100200
4130321010120222331
51002013142101023
622130145514113
72145521351646
oct347104305275
988058704320
1031022222013
111217a265612
126019342939
132c050b2bb3
1417040dc6cd
15c18749743
hex739118abd

31022222013 has 144 divisors (see below), whose sum is σ = 51943260096. Its totient is φ = 17768678400.

The previous prime is 31022221999. The next prime is 31022222057.

31022222013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31022222013 - 210 = 31022220989 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31022222093) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 307150663 + ... + 307150763.

It is an arithmetic number, because the mean of its divisors is an integer number (360717084).

Almost surely, 231022222013 is an apocalyptic number.

It is an amenable number.

31022222013 is a deficient number, since it is larger than the sum of its proper divisors (20921038083).

31022222013 is a wasteful number, since it uses less digits than its factorization.

31022222013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The spelling of 31022222013 in words is "thirty-one billion, twenty-two million, two hundred twenty-two thousand, thirteen".

Divisors: 1 3 9 17 19 51 57 67 83 101 153 171 201 249 303 323 361 603 747 909 969 1083 1139 1273 1411 1577 1717 1919 2907 3249 3417 3819 4233 4731 5151 5561 5757 6137 6767 8383 10251 11457 12699 14193 15453 16683 17271 18411 20301 21641 24187 25149 26809 29963 32623 36461 50049 55233 60903 64923 72561 75447 80427 89889 94537 97869 105659 109383 115039 128573 142511 159277 194769 217683 241281 269667 283611 293607 316977 328149 345117 385719 411179 427533 477831 509371 561661 619837 850833 950931 1035351 1157157 1233537 1282599 1433493 1528113 1684983 1796203 1859511 2007521 2185741 2442887 2707709 3026263 3700611 4584339 5054949 5388609 5578533 6022563 6557223 7328661 8123127 9078789 9548237 10671559 16165827 18067689 19671669 21985983 24369381 27236367 28644711 32014677 34127857 41529079 51446471 85934133 96044031 102383571 124587237 154339413 181416503 202759621 307150713 373761711 463018239 544249509 608278863 1632748527 1824836589 3446913557 10340740671 31022222013