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100423041213420 = 2232541102113327579
BaseRepresentation
bin10110110101010110001111…
…101100101110001111101100
3111011120100102101222211001100
4112311112033230232033230
5101130312342022312140
6553325412552043100
730103216402133502
oct2665261754561754
9434510371884040
10100423041213420
1129aa8199818212
12b31a7a9393490
134405b10243383
141ab2703150672
15b92378e19530
hex5b558fb2e3ec

100423041213420 has 144 divisors (see below), whose sum is σ = 312351881980320. Its totient is φ = 26100728755200.

The previous prime is 100423041213409. The next prime is 100423041213427. The reversal of 100423041213420 is 24312140324001.

100423041213420 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 2 + 304 + 12 + 1 + 342 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (100423041213427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 871191 + ... + 14198769.

It is an arithmetic number, because the mean of its divisors is an integer number (2169110291530).

Almost surely, 2100423041213420 is an apocalyptic number.

100423041213420 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 100423041213420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156175940990160).

100423041213420 is an abundant number, since it is smaller than the sum of its proper divisors (211928840766900).

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

100423041213420 is a wasteful number, since it uses less digits than its factorization.

100423041213420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13328656 (or 13328651 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 100423041213420 its reverse (24312140324001), we get a palindrome (124735181537421).

The spelling of 100423041213420 in words is "one hundred trillion, four hundred twenty-three billion, forty-one million, two hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1021 1230 1476 1845 2042 2460 3063 3690 4084 5105 6126 7380 9189 10210 12252 15315 18378 20420 30630 36756 41861 45945 61260 83722 91890 125583 167444 183780 209305 251166 376749 418610 502332 627915 753498 837220 1255830 1506996 1883745 2511660 3767490 7534980 13327579 26655158 39982737 53310316 66637895 79965474 119948211 133275790 159930948 199913685 239896422 266551580 399827370 479792844 546430739 599741055 799654740 1092861478 1199482110 1639292217 2185722956 2398964220 2732153695 3278584434 4917876651 5464307390 6557168868 8196461085 9835753302 10928614780 13607458159 16392922170 19671506604 24589383255 27214916318 32785844340 40822374477 49178766510 54429832636 68037290795 81644748954 98357533020 122467123431 136074581590 163289497908 204111872385 244934246862 272149163180 408223744770 489868493724 557905784519 612335617155 816447489540 1115811569038 1224671234310 1673717353557 2231623138076 2449342468620 2789528922595 3347434707114 5021152060671 5579057845190 6694869414228 8368586767785 10042304121342 11158115690380 16737173535570 20084608242684 25105760303355 33474347071140 50211520606710 100423041213420