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202001310031020 = 223515299220059383
BaseRepresentation
bin101101111011100000011000…
…010101000001110010101100
3222111020010200121112101020220
4231323200120111001302230
5202434042140331443040
61553342042025011340
760356053526022153
oct5573403025016254
9874203617471226
10202001310031020
11594003023928a5
121a7a525a023b50
138893846060c26
1437c4cb648659a
1518547b708e2d0
hexb7b818541cac

202001310031020 has 48 divisors (see below), whose sum is σ = 565640640633600. Its totient is φ = 53863494813376.

The previous prime is 202001310031019. The next prime is 202001310031061. The reversal of 202001310031020 is 20130013100202.

202001310031020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2020013100310202 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109111752 + ... + 110947631.

It is an arithmetic number, because the mean of its divisors is an integer number (11784180013200).

Almost surely, 2202001310031020 is an apocalyptic number.

202001310031020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202001310031020 is an abundant number, since it is smaller than the sum of its proper divisors (363639330602580).

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

202001310031020 is a wasteful number, since it uses less digits than its factorization.

202001310031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220074694 (or 220074692 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 202001310031020 its reverse (20130013100202), we get a palindrome (222131323131222).

The spelling of 202001310031020 in words is "two hundred two trillion, one billion, three hundred ten million, thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 15299 30598 45897 61196 76495 91794 152990 183588 229485 305980 458970 917940 220059383 440118766 660178149 880237532 1100296915 1320356298 2200593830 2640712596 3300890745 4401187660 6601781490 13203562980 3366688500517 6733377001034 10100065501551 13466754002068 16833442502585 20200131003102 33666885005170 40400262006204 50500327507755 67333770010340 101000655015510 202001310031020