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202103000040 = 233522354713807
BaseRepresentation
bin1011110000111001000…
…1110000101111101000
3201022122220110011012210
42330032101300233220
511302401332000130
6232502252405120
720413205104314
oct2741621605750
9638586404183
10202103000040
1178790969267
1233203a767a0
131609ac1a6b6
149ad350cb44
1553ccdd05b0
hex2f0e470be8

202103000040 has 128 divisors (see below), whose sum is σ = 610185461760. Its totient is φ = 53550491904.

The previous prime is 202103000023. The next prime is 202103000041. The reversal of 202103000040 is 40000301202.

202103000040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (202103000041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14630817 + ... + 14644623.

It is an arithmetic number, because the mean of its divisors is an integer number (4767073920).

Almost surely, 2202103000040 is an apocalyptic number.

202103000040 is a gapful number since it is divisible by the number (20) 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 202103000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305092730880).

202103000040 is an abundant number, since it is smaller than the sum of its proper divisors (408082461720).

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

202103000040 is a wasteful number, since it uses less digits than its factorization.

202103000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14591 (or 14587 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 202103000040 its reverse (40000301202), we get a palindrome (242103301242).

The spelling of 202103000040 in words is "two hundred two billion, one hundred three million, forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 223 446 547 669 892 1094 1115 1338 1641 1784 2188 2230 2676 2735 3282 3345 4376 4460 5352 5470 6564 6690 8205 8920 10940 13128 13380 13807 16410 21880 26760 27614 32820 41421 55228 65640 69035 82842 110456 121981 138070 165684 207105 243962 276140 331368 365943 414210 487924 552280 609905 731886 828420 975848 1219810 1463772 1656840 1829715 2439620 2927544 3078961 3659430 4879240 6157922 7318860 7552429 9236883 12315844 14637720 15104858 15394805 18473766 22657287 24631688 30209716 30789610 36947532 37762145 45314574 46184415 60419432 61579220 73895064 75524290 90629148 92368830 113286435 123158440 151048580 181258296 184737660 226572870 302097160 369475320 453145740 906291480 1684191667 3368383334 5052575001 6736766668 8420958335 10105150002 13473533336 16841916670 20210300004 25262875005 33683833340 40420600008 50525750010 67367666680 101051500020 202103000040