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124401003100 = 2252111013593119
BaseRepresentation
bin111001111011011100…
…0001010101001011100
3102220002201102201210021
41303312320022221130
54014233124044400
6133052105121524
711662526036143
oct1636670125134
9386081381707
10124401003100
1148838139970
12201397892a4
13b966c0bb0a
146041a4275a
15338153b71a
hex1cf6e0aa5c

124401003100 has 144 divisors (see below), whose sum is σ = 298330905600. Its totient is φ = 44649760000.

The previous prime is 124401003059. The next prime is 124401003143. The reversal of 124401003100 is 1300104421.

It is a super-2 number, since 2×1244010031002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39883341 + ... + 39886459.

It is an arithmetic number, because the mean of its divisors is an integer number (2071742400).

Almost surely, 2124401003100 is an apocalyptic number.

124401003100 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 124401003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149165452800).

124401003100 is an abundant number, since it is smaller than the sum of its proper divisors (173929902500).

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

124401003100 is a wasteful number, since it uses less digits than its factorization.

124401003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3604 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 124401003100 its reverse (1300104421), we get a palindrome (125701107521).

The spelling of 124401003100 in words is "one hundred twenty-four billion, four hundred one million, three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 359 404 505 550 718 1010 1100 1111 1436 1795 2020 2222 2525 3119 3590 3949 4444 5050 5555 6238 7180 7898 8975 10100 11110 12476 15595 15796 17950 19745 22220 27775 31190 34309 35900 36259 39490 55550 62380 68618 72518 77975 78980 98725 111100 137236 145036 155950 171545 181295 197450 311900 315019 343090 362590 394900 398849 630038 686180 725180 797698 857725 906475 1119721 1260076 1575095 1595396 1715450 1812950 1994245 2239442 3150190 3430900 3465209 3625900 3988490 4478884 5598605 6300380 6930418 7875475 7976980 9971225 11197210 12316931 13860836 15750950 17326045 19942450 22394420 24633862 27993025 31501900 34652090 39884900 49267724 55986050 61584655 69304180 86630225 111972100 113091821 123169310 173260450 226183642 246338620 307923275 346520900 452367284 565459105 615846550 1130918210 1231693100 1244010031 2261836420 2488020062 2827295525 4976040124 5654591050 6220050155 11309182100 12440100310 24880200620 31100250775 62200501550 124401003100