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100404313100 = 225271311099949
BaseRepresentation
bin101110110000010010…
…0000011110000001100
3100121011100102120112222
41131200210003300030
53121112001004400
6114043004514512
710153053402620
oct1354044036014
9317140376488
10100404313100
1139643687563
121756124ba38
139611501270
144c06a29180
1529299a1185
hex1760903c0c

100404313100 has 144 divisors (see below), whose sum is σ = 268425528000. Its totient is φ = 31744465920.

The previous prime is 100404313099. The next prime is 100404313109. The reversal of 100404313100 is 1313404001.

It is a super-2 number, since 2×1004043131002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100404313109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10086926 + ... + 10096874.

Almost surely, 2100404313100 is an apocalyptic number.

100404313100 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 100404313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134212764000).

100404313100 is an abundant number, since it is smaller than the sum of its proper divisors (168021214900).

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

100404313100 is a wasteful number, since it uses less digits than its factorization.

100404313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11092 (or 11085 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 100404313100 its reverse (1313404001), we get a palindrome (101717717101).

Subtracting from 100404313100 its reverse (1313404001), we obtain a palindrome (99090909099).

The spelling of 100404313100 in words is "one hundred billion, four hundred four million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1109 1300 1820 2218 2275 4436 4550 5545 7763 9100 9949 11090 14417 15526 19898 22180 27725 28834 31052 38815 39796 49745 55450 57668 69643 72085 77630 99490 100919 110900 129337 139286 144170 155260 194075 198980 201838 248725 258674 278572 288340 348215 360425 388150 403676 497450 504595 517348 646685 696430 720850 776300 905359 994900 1009190 1293370 1392860 1441700 1741075 1810718 2018380 2522975 2586740 3233425 3482150 3621436 4526795 5045950 6466850 6964300 9053590 10091900 11033441 12933700 18107180 22066882 22633975 44133764 45267950 55167205 77234087 90535900 110334410 143434733 154468174 220668820 275836025 286869466 308936348 386170435 551672050 573738932 717173665 772340870 1004043131 1103344100 1434347330 1544681740 1930852175 2008086262 2868694660 3585868325 3861704350 4016172524 5020215655 7171736650 7723408700 10040431310 14343473300 20080862620 25101078275 50202156550 100404313100