Search a number
-
+
31123321333302 = 231119371793747431
BaseRepresentation
bin1110001001110011101101…
…00000110010011000110110
311002012100201202222000020010
413010321312200302120312
513034411030230131202
6150105504553521050
76361404626234142
oct704716640623066
9132170652860203
1031123321333302
119a0a365566a20
1235a7aa9413186
131449bbba33713
1479853bcaa222
1538e8c7dae76c
hex1c4e76832636

31123321333302 has 128 divisors (see below), whose sum is σ = 73821412454400. Its totient is φ = 8644871318400.

The previous prime is 31123321333301. The next prime is 31123321333303. The reversal of 31123321333302 is 20333312332113.

It is an interprime number because it is at equal distance from previous prime (31123321333301) and next prime (31123321333303).

It is a super-2 number, since 2×311233213333022 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31123321333302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31123321333301) 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, 6431527 + ... + 10178957.

It is an arithmetic number, because the mean of its divisors is an integer number (576729784800).

Almost surely, 231123321333302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31123321333302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36910706227200).

31123321333302 is an abundant number, since it is smaller than the sum of its proper divisors (42698091121098).

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

31123321333302 is a wasteful number, since it uses less digits than its factorization.

31123321333302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3747682.

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 31123321333302 its reverse (20333312332113), we get a palindrome (51456633665415).

The spelling of 31123321333302 in words is "thirty-one trillion, one hundred twenty-three billion, three hundred twenty-one million, three hundred thirty-three thousand, three hundred two".

Divisors: 1 2 3 6 11 19 22 33 37 38 57 66 74 111 114 179 209 222 358 407 418 537 627 703 814 1074 1221 1254 1406 1969 2109 2442 3401 3938 4218 5907 6623 6802 7733 10203 11814 13246 15466 19869 20406 23199 37411 39738 46398 72853 74822 112233 125837 145706 218559 224466 251674 377511 437118 755022 1384207 2768414 3747431 4152621 7494862 8305242 11242293 22484586 41221741 71201189 82443482 123665223 138654947 142402378 213603567 247330446 277309894 415964841 427207134 670790149 783213079 831929682 1341580298 1525204417 1566426158 2012370447 2349639237 2634443993 3050408834 4024740894 4575613251 4699278474 5268887986 7378691639 7903331979 9151226502 12745012831 14757383278 15806663958 22136074917 24819235513 25490025662 28978883923 38235038493 44272149834 49638471026 57957767846 74457706539 76470076986 86936651769 140195141141 148915413078 173873303538 273011590643 280390282282 420585423423 471565474747 546023181286 819034771929 841170846846 943130949494 1414696424241 1638069543858 2829392848482 5187220222217 10374440444434 15561660666651 31123321333302