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100411010420 = 225710138318541
BaseRepresentation
bin101110110000011110…
…1100110110101110100
3100121011211000211112212
41131200331212311310
53121120204313140
6114043404232552
710153164335420
oct1354075466564
9317154024485
10100411010420
1139647441336
121756353b758
139612a07786
144c0788db80
15292a375765
hex1760f66d74

100411010420 has 96 divisors (see below), whose sum is σ = 244021026816. Its totient is φ = 33994944000.

The previous prime is 100411010363. The next prime is 100411010449. The reversal of 100411010420 is 24010114001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 100411010395 and 100411010404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5406350 + ... + 5424890.

It is an arithmetic number, because the mean of its divisors is an integer number (2541885696).

Almost surely, 2100411010420 is an apocalyptic number.

100411010420 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 100411010420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122010513408).

100411010420 is an abundant number, since it is smaller than the sum of its proper divisors (143610016396).

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

100411010420 is a wasteful number, since it uses less digits than its factorization.

100411010420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19041 (or 19039 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100411010420 its reverse (24010114001), we get a palindrome (124421124421).

The spelling of 100411010420 in words is "one hundred billion, four hundred eleven million, ten thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 383 404 505 707 766 1010 1414 1532 1915 2020 2681 2828 3535 3830 5362 7070 7660 10724 13405 14140 18541 26810 37082 38683 53620 74164 77366 92705 129787 154732 185410 193415 259574 270781 370820 386830 519148 541562 648935 773660 1083124 1297870 1353905 1872641 2595740 2707810 3745282 5415620 7101203 7490564 9363205 13108487 14202406 18726410 26216974 28404812 35506015 37452820 49708421 52433948 65542435 71012030 99416842 131084870 142024060 198833684 248542105 262169740 497084210 717221503 994168420 1434443006 2868886012 3586107515 5020550521 7172215030 10041101042 14344430060 20082202084 25102752605 50205505210 100411010420