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101103400 = 23522331709
BaseRepresentation
bin1100000011010…
…11011100101000
321001020120210101
412001223130220
5201340302100
614010555144
72335236046
oct601533450
9231216711
10101103400
1152085532
1229a38ab4
1317c3bac8
14d5db396
158d2186a
hex606b728

101103400 has 96 divisors (see below), whose sum is σ = 253555200. Its totient is φ = 37382400.

The previous prime is 101103371. The next prime is 101103451. The reversal of 101103400 is 4301101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 142246 + ... + 142954.

It is an arithmetic number, because the mean of its divisors is an integer number (2641200).

Almost surely, 2101103400 is an apocalyptic number.

101103400 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 101103400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126777600).

101103400 is an abundant number, since it is smaller than the sum of its proper divisors (152451800).

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

101103400 is a wasteful number, since it uses less digits than its factorization.

101103400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 101103400 is about 10055.0186474218. The cubic root of 101103400 is about 465.8598189490.

Adding to 101103400 its reverse (4301101), we get a palindrome (105404501).

The spelling of 101103400 in words is "one hundred one million, one hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 31 40 46 50 62 92 100 115 124 155 184 200 230 248 310 460 575 620 709 713 775 920 1150 1240 1418 1426 1550 2300 2836 2852 3100 3545 3565 4600 5672 5704 6200 7090 7130 14180 14260 16307 17725 17825 21979 28360 28520 32614 35450 35650 43958 65228 70900 71300 81535 87916 109895 130456 141800 142600 163070 175832 219790 326140 407675 439580 505517 549475 652280 815350 879160 1011034 1098950 1630700 2022068 2197900 2527585 3261400 4044136 4395800 5055170 10110340 12637925 20220680 25275850 50551700 101103400