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100411020 = 223254312973
BaseRepresentation
bin1011111110000…
…10011010001100
320222221102000200
411333002122030
5201201123040
613544053500
72326323333
oct577023214
9228842020
10100411020
1151752316
1229764290
1317a58908
14d49ad1a
158c36630
hex5fc268c

100411020 has 72 divisors (see below), whose sum is σ = 311687376. Its totient is φ = 26151552.

The previous prime is 100411013. The next prime is 100411037. The reversal of 100411020 is 20114001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100410993 and 100411011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1254 + ... + 14226.

Almost surely, 2100411020 is an apocalyptic number.

100411020 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 100411020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155843688).

100411020 is an abundant number, since it is smaller than the sum of its proper divisors (211276356).

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

100411020 is a wasteful number, since it uses less digits than its factorization.

100411020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13031 (or 13026 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 100411020 is about 10020.5299261067. The cubic root of 100411020 is about 464.7939426949.

Adding to 100411020 its reverse (20114001), we get a palindrome (120525021).

The spelling of 100411020 in words is "one hundred million, four hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 12973 25946 38919 51892 64865 77838 116757 129730 155676 194595 233514 259460 389190 467028 557839 583785 778380 1115678 1167570 1673517 2231356 2335140 2789195 3347034 5020551 5578390 6694068 8367585 10041102 11156780 16735170 20082204 25102755 33470340 50205510 100411020