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100420241100 = 223521132962249
BaseRepresentation
bin101110110000110000…
…0110100011011001100
3100121012110101210122220
41131201200310123030
53121130040203400
6114044334135340
710153335652134
oct1354140643314
9317173353586
10100420241100
11396516764a3
1217566651550
1396148ba10a
144c08bb3ac4
15292b09a7a0
hex17618346cc

100420241100 has 72 divisors (see below), whose sum is σ = 293120562000. Its totient is φ = 26541742080.

The previous prime is 100420241087. The next prime is 100420241111. The reversal of 100420241100 is 1142024001.

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 100420241100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1447225 + ... + 1515024.

Almost surely, 2100420241100 is an apocalyptic number.

100420241100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100420241100 is an abundant number, since it is smaller than the sum of its proper divisors (192700320900).

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

100420241100 is a wasteful number, since it uses less digits than its factorization.

100420241100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962379 (or 2962372 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100420241100 its reverse (1142024001), we get a palindrome (101562265101).

The spelling of 100420241100 in words is "one hundred billion, four hundred twenty million, two hundred forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 113 150 226 300 339 452 565 678 1130 1356 1695 2260 2825 3390 5650 6780 8475 11300 16950 33900 2962249 5924498 8886747 11848996 14811245 17773494 29622490 35546988 44433735 59244980 74056225 88867470 148112450 177734940 222168675 296224900 334734137 444337350 669468274 888674700 1004202411 1338936548 1673670685 2008404822 3347341370 4016809644 5021012055 6694682740 8368353425 10042024110 16736706850 20084048220 25105060275 33473413700 50210120550 100420241100