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31220332440 = 23351139236029
BaseRepresentation
bin11101000100111000…
…000111011110011000
32222120210120012202220
4131010320013132120
51002414401114230
622201544024040
72153445306243
oct350470073630
988523505686
1031220332440
1112271077940
126073762020
132c371580bb
14172254c25a
15c2ad2dd10
hex744e07798

31220332440 has 128 divisors (see below), whose sum is σ = 102218630400. Its totient is φ = 7565381120.

The previous prime is 31220332433. The next prime is 31220332463. The reversal of 31220332440 is 4423302213.

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

It is a self number, because there is not a number n which added to its sum of digits gives 31220332440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5175346 + ... + 5181374.

It is an arithmetic number, because the mean of its divisors is an integer number (798583050).

Almost surely, 231220332440 is an apocalyptic number.

31220332440 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 31220332440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51109315200).

31220332440 is an abundant number, since it is smaller than the sum of its proper divisors (70998297960).

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

31220332440 is a wasteful number, since it uses less digits than its factorization.

31220332440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9977 (or 9973 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 31220332440 its reverse (4423302213), we get a palindrome (35643634653).

The spelling of 31220332440 in words is "thirty-one billion, two hundred twenty million, three hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 3923 6029 7846 11769 12058 15692 18087 19615 23538 24116 30145 31384 36174 39230 43153 47076 48232 58845 60290 66319 72348 78460 86306 90435 94152 117690 120580 129459 132638 144696 156920 172612 180870 198957 215765 235380 241160 258918 265276 331595 345224 361740 397914 431530 470760 517836 530552 647295 663190 723480 795828 863060 994785 1035672 1294590 1326380 1591656 1726120 1989570 2589180 2652760 3979140 5178360 7958280 23651767 47303534 70955301 94607068 118258835 141910602 189214136 236517670 260169437 283821204 354776505 473035340 520338874 567642408 709553010 780508311 946070680 1040677748 1300847185 1419106020 1561016622 2081355496 2601694370 2838212040 3122033244 3902541555 5203388740 6244066488 7805083110 10406777480 15610166220 31220332440