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100333420000 = 255411456061
BaseRepresentation
bin101110101110001010…
…1100111110111100000
3100120222102000211111121
41131130111213313200
53120440323420000
6114031553222024
710151232666322
oct1353425476740
9316872024447
10100333420000
1139607666520
1217541561914
1395cc90c098
144bdb453612
15292364ab1a
hex175c567de0

100333420000 has 120 divisors (see below), whose sum is σ = 269275423032. Its totient is φ = 36484800000.

The previous prime is 100333419997. The next prime is 100333420001. The reversal of 100333420000 is 24333001.

It is a super-5 number, since 5×1003334200005 (a number of 56 digits) contains 55555 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100333420001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8031 + ... + 448030.

Almost surely, 2100333420000 is an apocalyptic number.

100333420000 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 100333420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134637711516).

100333420000 is an abundant number, since it is smaller than the sum of its proper divisors (168942003032).

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

100333420000 is an equidigital number, since it uses as much as digits as its factorization.

100333420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456102 (or 456079 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 100333420000 its reverse (24333001), we get a palindrome (100357753001).

The spelling of 100333420000 in words is "one hundred billion, three hundred thirty-three million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 4000 4400 5000 5500 6875 8800 10000 11000 13750 20000 22000 27500 44000 55000 110000 220000 456061 912122 1824244 2280305 3648488 4560610 5016671 7296976 9121220 10033342 11401525 14593952 18242440 20066684 22803050 25083355 36484880 40133368 45606100 50166710 57007625 72969760 80266736 91212200 100333420 114015250 125416775 160533472 182424400 200666840 228030500 250833550 285038125 364848800 401333680 456061000 501667100 570076250 627083875 802667360 912122000 1003334200 1140152500 1254167750 1824244000 2006668400 2280305000 2508335500 3135419375 4013336800 4560610000 5016671000 6270838750 9121220000 10033342000 12541677500 20066684000 25083355000 50166710000 100333420000