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1312222241000 = 235311826314437
BaseRepresentation
bin10011000110000110100…
…010100110000011101000
311122110002000122121220202
4103012012202212003220
5132444412343203000
62442454312411332
7163543043004146
oct23060642460350
94573060577822
101312222241000
11466568277810
121923986a6b48
13969853026c8
14477248d8596
1524201e44dd5
hex131868a60e8

1312222241000 has 128 divisors (see below), whose sum is σ = 3350382946560. Its totient is φ = 477080928000.

The previous prime is 1312222240993. The next prime is 1312222241023. The reversal of 1312222241000 is 1422222131.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 90885782 + ... + 90900218.

It is an arithmetic number, because the mean of its divisors is an integer number (26174866770).

Almost surely, 21312222241000 is an apocalyptic number.

1312222241000 is a gapful number since it is divisible by the number (10) 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 1312222241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675191473280).

1312222241000 is an abundant number, since it is smaller than the sum of its proper divisors (2038160705560).

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

1312222241000 is a wasteful number, since it uses less digits than its factorization.

1312222241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22732 (or 22718 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1312222241000 its reverse (1422222131), we get a palindrome (1313644463131).

The spelling of 1312222241000 in words is "one trillion, three hundred twelve billion, two hundred twenty-two million, two hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 8263 11000 14437 16526 28874 33052 41315 57748 66104 72185 82630 90893 115496 144370 158807 165260 181786 206575 288740 317614 330520 360925 363572 413150 454465 577480 635228 721850 727144 794035 826300 908930 1032875 1270456 1443700 1588070 1652600 1804625 1817860 2065750 2272325 2887400 3176140 3609250 3635720 3970175 4131500 4544650 6352280 7218500 7940350 8263000 9089300 11361625 14437000 15880700 18178600 19850875 22723250 31761400 39701750 45446500 79403500 90893000 119292931 158807000 238585862 477171724 596464655 954343448 1192929310 1312222241 2385858620 2624444482 2982323275 4771717240 5248888964 5964646550 6561111205 10497777928 11929293100 13122222410 14911616375 23858586200 26244444820 29823232750 32805556025 52488889640 59646465500 65611112050 119292931000 131222224100 164027780125 262444448200 328055560250 656111120500 1312222241000