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100341420 = 22353173739
BaseRepresentation
bin1011111101100…
…01011010101100
320222210212112220
411332301122230
5201141411140
613542355340
72325613404
oct576613254
9228725486
10100341420
1151704aa3
122972bb50
1317a3302a
14d47d804
158c20bd0
hex5fb16ac

100341420 has 96 divisors (see below), whose sum is σ = 294389760. Its totient is φ = 25505280.

The previous prime is 100341419. The next prime is 100341431. The reversal of 100341420 is 24143001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100341420.

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, 135411 + ... + 136149.

It is an arithmetic number, because the mean of its divisors is an integer number (3066560).

Almost surely, 2100341420 is an apocalyptic number.

100341420 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 100341420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147194880).

100341420 is an abundant number, since it is smaller than the sum of its proper divisors (194048340).

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

100341420 is a wasteful number, since it uses less digits than its factorization.

100341420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 100341420 is about 10017.0564538691. The cubic root of 100341420 is about 464.6865270756.

Adding to 100341420 its reverse (24143001), we get a palindrome (124484421).

The spelling of 100341420 in words is "one hundred million, three hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 73 93 124 146 155 186 219 292 310 365 372 438 465 620 730 739 876 930 1095 1460 1478 1860 2190 2217 2263 2956 3695 4380 4434 4526 6789 7390 8868 9052 11085 11315 13578 14780 22170 22630 22909 27156 33945 44340 45260 45818 53947 67890 68727 91636 107894 114545 135780 137454 161841 215788 229090 269735 274908 323682 343635 458180 539470 647364 687270 809205 1078940 1374540 1618410 1672357 3236820 3344714 5017071 6689428 8361785 10034142 16723570 20068284 25085355 33447140 50170710 100341420