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131533422023400 = 23352239531407393
BaseRepresentation
bin11101111010000100000010…
…111001010101001011101000
3122020201110202100002010110220
4131322010002321111023220
5114220020422014222100
61143425341521410040
736463655546640465
oct3572040271251350
9566643670063426
10131533422023400
1138a02013732461
1212904084a99920
135851718ccaaa7
14246a37453466c
151031745bc4aa0
hex77a102e552e8

131533422023400 has 96 divisors (see below), whose sum is σ = 425482026068160. Its totient is φ = 33550554019840.

The previous prime is 131533422023387. The next prime is 131533422023413. The reversal of 131533422023400 is 4320224335131.

It is an interprime number because it is at equal distance from previous prime (131533422023387) and next prime (131533422023413).

It is a super-2 number, since 2×1315334220234002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4765689897 + ... + 4765717496.

It is an arithmetic number, because the mean of its divisors is an integer number (4432104438210).

Almost surely, 2131533422023400 is an apocalyptic number.

131533422023400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131533422023400 is an abundant number, since it is smaller than the sum of its proper divisors (293948604044760).

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

131533422023400 is a wasteful number, since it uses less digits than its factorization.

131533422023400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9531407435 (or 9531407426 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 131533422023400 its reverse (4320224335131), we get a palindrome (135853646358531).

The spelling of 131533422023400 in words is "one hundred thirty-one trillion, five hundred thirty-three billion, four hundred twenty-two million, twenty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 138 150 184 200 230 276 300 345 460 552 575 600 690 920 1150 1380 1725 2300 2760 3450 4600 6900 13800 9531407393 19062814786 28594222179 38125629572 47657036965 57188444358 76251259144 95314073930 114376888716 142971110895 190628147860 219222370039 228753777432 238285184825 285942221790 381256295720 438444740078 476570369650 571884443580 657667110117 714855554475 876889480156 953140739300 1096111850195 1143768887160 1315334220234 1429711108950 1753778960312 1906281478600 2192223700390 2630668440468 2859422217900 3288335550585 4384447400780 5261336880936 5480559250975 5718844435800 6576671101170 8768894801560 10961118501950 13153342202340 16441677752925 21922237003900 26306684404680 32883355505850 43844474007800 65766711011700 131533422023400