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31322301300 = 223252277125641
BaseRepresentation
bin11101001010111101…
…000110001101110100
32222211220102202202100
4131022331012031310
51003122002120200
622220025342100
72156124111453
oct351275061564
988756382670
1031322301300
1112313693624
1260a1937930
132c5230aac4
141731cd2b9a
15c34c71d00
hex74af46374

31322301300 has 108 divisors (see below), whose sum is σ = 98533230796. Its totient is φ = 8322393600.

The previous prime is 31322301293. The next prime is 31322301323. The reversal of 31322301300 is 310322313.

31322301300 is a `hidden beast` number, since 3 + 132 + 230 + 1 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7474294116 + 23848007184 = 86454^2 + 154428^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 186480 + ... + 312120.

Almost surely, 231322301300 is an apocalyptic number.

31322301300 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 31322301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49266615398).

31322301300 is an abundant number, since it is smaller than the sum of its proper divisors (67210929496).

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

31322301300 is a wasteful number, since it uses less digits than its factorization.

31322301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125938 (or 125928 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 31322301300 its reverse (310322313), we get a palindrome (31632623613).

The spelling of 31322301300 in words is "thirty-one billion, three hundred twenty-two million, three hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 277 300 450 554 831 900 1108 1385 1662 2493 2770 3324 4155 4986 5540 6925 8310 9972 12465 13850 16620 20775 24930 27700 41550 49860 62325 83100 124650 125641 249300 251282 376923 502564 628205 753846 1130769 1256410 1507692 1884615 2261538 2512820 3141025 3769230 4523076 5653845 6282050 7538460 9423075 11307690 12564100 18846150 22615380 28269225 34802557 37692300 56538450 69605114 104407671 113076900 139210228 174012785 208815342 313223013 348025570 417630684 522038355 626446026 696051140 870063925 1044076710 1252892052 1566115065 1740127850 2088153420 2610191775 3132230130 3480255700 5220383550 6264460260 7830575325 10440767100 15661150650 31322301300