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252101200020 = 2235231265914431
BaseRepresentation
bin1110101011001001100…
…1110000100010010100
3220002201100212212200020
43222302121300202110
513112300401400040
6311451431345140
724133205562225
oct3526231604224
9802640785606
10252101200020
1197a0861199a
1240a382221b0
131aa084aa007
14c2b78d124c
15685751bcd0
hex3ab2670894

252101200020 has 96 divisors (see below), whose sum is σ = 736683171840. Its totient is φ = 64294538880.

The previous prime is 252101200007. The next prime is 252101200033. The reversal of 252101200020 is 20002101252.

It is an interprime number because it is at equal distance from previous prime (252101200007) and next prime (252101200033).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17462205 + ... + 17476635.

It is an arithmetic number, because the mean of its divisors is an integer number (7673783040).

Almost surely, 2252101200020 is an apocalyptic number.

252101200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252101200020 is an abundant number, since it is smaller than the sum of its proper divisors (484581971820).

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

252101200020 is a wasteful number, since it uses less digits than its factorization.

252101200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27125 (or 27123 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 252101200020 its reverse (20002101252), we get a palindrome (272103301272).

The spelling of 252101200020 in words is "two hundred fifty-two billion, one hundred one million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 12659 14431 25318 28862 37977 43293 50636 57724 63295 72155 75954 86586 126590 144310 151908 173172 189885 216465 253180 288620 291157 331913 379770 432930 582314 663826 759540 865860 873471 995739 1164628 1327652 1455785 1659565 1746942 1991478 2911570 3319130 3493884 3982956 4367355 4978695 5823140 6638260 8734710 9957390 17469420 19914780 182682029 365364058 548046087 730728116 913410145 1096092174 1826820290 2192184348 2740230435 3653640580 4201686667 5480460870 8403373334 10960921740 12605060001 16806746668 21008433335 25210120002 42016866670 50420240004 63025300005 84033733340 126050600010 252101200020