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100021131232 = 251110313612027
BaseRepresentation
bin101110100100110111…
…0010101011111100000
3100120011122101220211221
41131021232111133200
53114320402144412
6113540555544424
710140421405411
oct1351156253740
9316148356757
10100021131232
1139467359330
1217474a5b114
13957cccaa29
144babba1808
152906010b07
hex1749b957e0

100021131232 has 96 divisors (see below), whose sum is σ = 217170180864. Its totient is φ = 44967475200.

The previous prime is 100021131209. The next prime is 100021131241. The reversal of 100021131232 is 232131120001.

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

It is a congruent number.

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, 49343403 + ... + 49345429.

It is an arithmetic number, because the mean of its divisors is an integer number (2262189384).

Almost surely, 2100021131232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100021131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108585090432).

100021131232 is an abundant number, since it is smaller than the sum of its proper divisors (117149049632).

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

100021131232 is a wasteful number, since it uses less digits than its factorization.

100021131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3512 (or 3504 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100021131232 its reverse (232131120001), we get a palindrome (332152251233).

The spelling of 100021131232 in words is "one hundred billion, twenty-one million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 103 176 206 352 412 824 1133 1361 1648 2027 2266 2722 3296 4054 4532 5444 8108 9064 10888 14971 16216 18128 21776 22297 29942 32432 36256 43552 44594 59884 64864 89188 119768 140183 178376 208781 239536 280366 356752 417562 479072 560732 713504 835124 1121464 1542013 1670248 2242928 2296591 2758747 3084026 3340496 4485856 4593182 5517494 6168052 6680992 9186364 11034988 12336104 18372728 22069976 24672208 30346217 36745456 44139952 49344416 60692434 73490912 88279904 121384868 242769736 284150941 485539472 568301882 971078944 1136603764 2273207528 3125660351 4546415056 6251320702 9092830112 12502641404 25005282808 50010565616 100021131232