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100110010100 = 225219831394567
BaseRepresentation
bin101110100111100000…
…1011000011011110100
3100120101211122102201212
41131033001120123310
53120011130310400
6113553452540552
710142551021442
oct1351701303364
9316354572655
10100110010100
1139502544341
121749a781758
139595549589
144bb98d9b92
15290dc1a335
hex174f0586f4

100110010100 has 144 divisors (see below), whose sum is σ = 233143411200. Its totient is φ = 37201576320.

The previous prime is 100110010087. The next prime is 100110010129. The reversal of 100110010100 is 1010011001.

It is a Harshad number since it is a multiple of its sum of digits (5).

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 47 ways as a sum of consecutive naturals, for example, 21918017 + ... + 21922583.

Almost surely, 2100110010100 is an apocalyptic number.

100110010100 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 100110010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116571705600).

100110010100 is an abundant number, since it is smaller than the sum of its proper divisors (133033401100).

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

100110010100 is a wasteful number, since it uses less digits than its factorization.

100110010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4822 (or 4815 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100110010100 its reverse (1010011001), we get a palindrome (101120021101).

Subtracting from 100110010100 its reverse (1010011001), we obtain a palindrome (99099999099).

The spelling of 100110010100 in words is "one hundred billion, one hundred ten million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 83 95 100 139 166 190 278 332 380 415 475 556 695 830 950 1390 1577 1660 1900 2075 2641 2780 3154 3475 4150 4567 5282 6308 6950 7885 8300 9134 10564 11537 13205 13900 15770 18268 22835 23074 26410 31540 39425 45670 46148 52820 57685 66025 78850 86773 91340 114175 115370 132050 157700 173546 219203 228350 230740 264100 288425 347092 379061 433865 438406 456700 576850 634813 758122 867730 876812 1096015 1153700 1269626 1516244 1735460 1895305 2169325 2192030 2539252 3174065 3790610 4338650 4384060 5480075 6348130 7202159 7581220 8677300 9476525 10960150 12061447 12696260 14404318 15870325 18953050 21920300 24122894 28808636 31740650 36010795 37906100 48245788 52689479 60307235 63481300 72021590 105378958 120614470 144043180 180053975 210757916 241228940 263447395 301536175 360107950 526894790 603072350 720215900 1001100101 1053789580 1206144700 1317236975 2002200202 2634473950 4004400404 5005500505 5268947900 10011001010 20022002020 25027502525 50055005050 100110010100