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100302112300 = 22521337256359
BaseRepresentation
bin101110101101001111…
…0001100011000101100
3100120220020010020102011
41131122132030120230
53120404320043200
6114024514211004
710150402613245
oct1353236143054
9316806106364
10100302112300
11395a0a22595
1217532b83a64
1395c6299b10
144bd7223ccc
152920a145ba
hex175a78c62c

100302112300 has 108 divisors (see below), whose sum is σ = 240908903760. Its totient is φ = 36033050880.

The previous prime is 100302112291. The next prime is 100302112319. The reversal of 100302112300 is 3211203001.

It is a super-2 number, since 2×1003021123002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 1751521 + ... + 1807879.

Almost surely, 2100302112300 is an apocalyptic number.

100302112300 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 100302112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120454451880).

100302112300 is an abundant number, since it is smaller than the sum of its proper divisors (140606791460).

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

100302112300 is a wasteful number, since it uses less digits than its factorization.

100302112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56460 (or 56416 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100302112300 its reverse (3211203001), we get a palindrome (103513315301).

The spelling of 100302112300 in words is "one hundred billion, three hundred two million, one hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 37 50 52 65 74 100 130 148 185 260 325 370 481 650 740 925 962 1300 1369 1850 1924 2405 2738 3700 4810 5476 6845 9620 12025 13690 17797 24050 27380 34225 35594 48100 56359 68450 71188 88985 112718 136900 177970 225436 281795 355940 444925 563590 732667 889850 1127180 1408975 1465334 1779700 2085283 2817950 2930668 3663335 4170566 5635900 7326670 8341132 10426415 14653340 18316675 20852830 27108679 36633350 41705660 52132075 54217358 73266700 77155471 104264150 108434716 135543395 154310942 208528300 271086790 308621884 385777355 542173580 677716975 771554710 1003021123 1355433950 1543109420 1928886775 2006042246 2710867900 3857773550 4012084492 5015105615 7715547100 10030211230 20060422460 25075528075 50151056150 100302112300