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31352442420 = 223513347115837
BaseRepresentation
bin11101001100110000…
…000100111000110100
32222221000011002121010
4131030300010320310
51003202211124140
622223023352220
72156641235445
oct351460047064
988830132533
1031352442420
1112329700042
1260aba52670
132c586320a0
141735cdb2cc
15c37727880
hex74cc04e34

31352442420 has 96 divisors (see below), whose sum is σ = 94812939648. Its totient is φ = 7695217152.

The previous prime is 31352442413. The next prime is 31352442437. The reversal of 31352442420 is 2424425313.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212742 + ... + 328578.

It is an arithmetic number, because the mean of its divisors is an integer number (987634788).

Almost surely, 231352442420 is an apocalyptic number.

31352442420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31352442420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47406469824).

31352442420 is an abundant number, since it is smaller than the sum of its proper divisors (63460497228).

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

31352442420 is a wasteful number, since it uses less digits than its factorization.

31352442420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116209 (or 116207 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 31352442420 its reverse (2424425313), we get a palindrome (33776867733).

The spelling of 31352442420 in words is "thirty-one billion, three hundred fifty-two million, four hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 347 390 694 780 1041 1388 1735 2082 3470 4164 4511 5205 6940 9022 10410 13533 18044 20820 22555 27066 45110 54132 67665 90220 115837 135330 231674 270660 347511 463348 579185 695022 1158370 1390044 1505881 1737555 2316740 3011762 3475110 4517643 6023524 6950220 7529405 9035286 15058810 18070572 22588215 30117620 40195439 45176430 80390878 90352860 120586317 160781756 200977195 241172634 401954390 482345268 522540707 602931585 803908780 1045081414 1205863170 1567622121 2090162828 2411726340 2612703535 3135244242 5225407070 6270488484 7838110605 10450814140 15676221210 31352442420