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10200232240 = 2451121736091
BaseRepresentation
bin10010111111111101…
…10011000100110000
3222022212112111010021
421133332303010300
5131342224412430
64404054213224
7510525354262
oct113776630460
928285474107
1010200232240
114364846500
121b88054214
13c673263a3
146ca9a5b32
153ea76107a
hex25ffb3130

10200232240 has 120 divisors (see below), whose sum is σ = 26222477904. Its totient is φ = 3687129600.

The previous prime is 10200232139. The next prime is 10200232283. The reversal of 10200232240 is 4223200201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1671595 + ... + 1677685.

Almost surely, 210200232240 is an apocalyptic number.

10200232240 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 10200232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13111238952).

10200232240 is an abundant number, since it is smaller than the sum of its proper divisors (16022245664).

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

10200232240 is a wasteful number, since it uses less digits than its factorization.

10200232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6299 (or 6282 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10200232240 its reverse (4223200201), we get a palindrome (14423432441).

The spelling of 10200232240 in words is "ten billion, two hundred million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 173 176 220 242 346 440 484 605 692 865 880 968 1210 1384 1730 1903 1936 2420 2768 3460 3806 4840 6091 6920 7612 9515 9680 12182 13840 15224 19030 20933 24364 30448 30455 38060 41866 48728 60910 67001 76120 83732 97456 104665 121820 134002 152240 167464 209330 243640 268004 334928 335005 418660 487280 536008 670010 737011 837320 1053743 1072016 1340020 1474022 1674640 2107486 2680040 2948044 3685055 4214972 5268715 5360080 5896088 7370110 8429944 10537430 11591173 11792176 14740220 16859888 21074860 23182346 29480440 42149720 46364692 57955865 58960880 84299440 92729384 115911730 127502903 185458768 231823460 255005806 463646920 510011612 637514515 927293840 1020023224 1275029030 2040046448 2550058060 5100116120 10200232240