Search a number
-
+
31322320313340 = 22357584171276631
BaseRepresentation
bin1110001111100110010111…
…10001101001101111111100
311002220101101100122121111010
413013303023301221233330
513101141103000011330
6150341135244355220
76411651203531460
oct707631361515774
9132811340577433
1031322320313340
119a867a3277aa1
12361a585845b10
1314628b3849394
147a40190564a0
15394b735003b0
hex1c7ccbc69bfc

31322320313340 has 96 divisors (see below), whose sum is σ = 100233219308544. Its totient is φ = 7159259335680.

The previous prime is 31322320313299. The next prime is 31322320313381. The reversal of 31322320313340 is 4331302322313.

It is an interprime number because it is at equal distance from previous prime (31322320313299) and next prime (31322320313381).

It is a super-2 number, since 2×313223203133402 (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 31322320313298 and 31322320313307.

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, 23896825 + ... + 25173455.

It is an arithmetic number, because the mean of its divisors is an integer number (1044096034464).

Almost surely, 231322320313340 is an apocalyptic number.

31322320313340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31322320313340 is an abundant number, since it is smaller than the sum of its proper divisors (68910898995204).

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

31322320313340 is a wasteful number, since it uses less digits than its factorization.

31322320313340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335067 (or 1335065 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 31322320313340 its reverse (4331302322313), we get a palindrome (35653622635653).

The spelling of 31322320313340 in words is "thirty-one trillion, three hundred twenty-two billion, three hundred twenty million, three hundred thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 58417 116834 175251 233668 292085 350502 408919 584170 701004 817838 876255 1168340 1226757 1276631 1635676 1752510 2044595 2453514 2553262 3505020 3829893 4089190 4907028 5106524 6133785 6383155 7659786 8178380 8936417 12267570 12766310 15319572 17872834 19149465 24535140 25532620 26809251 35745668 38298930 44682085 53618502 76597860 89364170 107237004 134046255 178728340 268092510 536185020 74576953127 149153906254 223730859381 298307812508 372884765635 447461718762 522038671889 745769531270 894923437524 1044077343778 1118654296905 1491539062540 1566116015667 2088154687556 2237308593810 2610193359445 3132232031334 4474617187620 5220386718890 6264464062668 7830580078335 10440773437780 15661160156670 31322320313340