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103010100 = 223522314929
BaseRepresentation
bin1100010001111…
…00111100110100
321011211110021220
412020330330310
5202332310400
614115510340
72360366664
oct610747464
9234743256
10103010100
1153168016
122a5b83b0
131845892b
14d9761a4
15909b7a0
hex623cf34

103010100 has 72 divisors (see below), whose sum is σ = 311021760. Its totient is φ = 26273280.

The previous prime is 103010099. The next prime is 103010129. The reversal of 103010100 is 1010301.

It is a super-2 number, since 2×1030101002 = 21222161404020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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, 565 + ... + 14364.

Almost surely, 2103010100 is an apocalyptic number.

103010100 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 103010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155510880).

103010100 is an abundant number, since it is smaller than the sum of its proper divisors (208011660).

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

103010100 is a wasteful number, since it uses less digits than its factorization.

103010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14969 (or 14962 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 103010100 is about 10149.3891441801. The cubic root of 103010100 is about 468.7701360239.

Adding to 103010100 its reverse (1010301), we get a palindrome (104020401).

The spelling of 103010100 in words is "one hundred three million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 14929 29858 44787 59716 74645 89574 149290 179148 223935 298580 343367 373225 447870 686734 746450 895740 1030101 1119675 1373468 1492900 1716835 2060202 2239350 3433670 4120404 4478700 5150505 6867340 8584175 10301010 17168350 20602020 25752525 34336700 51505050 103010100