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31104132130104 = 23311222434775207
BaseRepresentation
bin1110001001001111111101…
…01111110010010100111000
311002010112012110002111002120
413010213332233302110320
513034102230311130404
6150053012510401240
76360125250552255
oct704477657622470
9132115173074076
1031104132130104
119a02208782600
1235a4232b00220
13144815131c107
1479763b56042c
1538e1533ee9d9
hex1c49febf2538

31104132130104 has 96 divisors (see below), whose sum is σ = 85510222680960. Its totient is φ = 9421290429760.

The previous prime is 31104132130081. The next prime is 31104132130109. The reversal of 31104132130104 is 40103123140113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31104132130109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4126069 + ... + 8901275.

It is an arithmetic number, because the mean of its divisors is an integer number (890731486260).

Almost surely, 231104132130104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31104132130104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42755111340480).

31104132130104 is an abundant number, since it is smaller than the sum of its proper divisors (54406090550856).

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

31104132130104 is a wasteful number, since it uses less digits than its factorization.

31104132130104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4777481 (or 4777466 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 31104132130104 its reverse (40103123140113), we get a palindrome (71207255270217).

The spelling of 31104132130104 in words is "thirty-one trillion, one hundred four billion, one hundred thirty-two million, one hundred thirty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2243 2904 4486 6729 8972 13458 17944 24673 26916 49346 53832 74019 98692 148038 197384 271403 296076 542806 592152 814209 1085612 1628418 2171224 3256836 4775207 6513672 9550414 14325621 19100828 28651242 38201656 52527277 57302484 105054554 114604968 157581831 210109108 315163662 420218216 577800047 630327324 1155600094 1260654648 1733400141 2311200188 3466800282 4622400376 6933600564 10710789301 13867201128 21421578602 32132367903 42843157204 64264735806 85686314408 117818682311 128529471612 235637364622 257058943224 353456046933 471274729244 706912093866 942549458488 1296005505421 1413824187732 2592011010842 2827648375464 3888016516263 5184022021684 7776033032526 10368044043368 15552066065052 31104132130104