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10423113100 = 22521719467691
BaseRepresentation
bin10011011010100010…
…00001010110001100
3222220101221000011221
421231101001112030
5132321304104400
64442135253124
7516202666561
oct115521012614
928811830157
1010423113100
114469637164
12202a81a1a4
13ca156215a
1470c422868
154100d9c1a
hex26d44158c

10423113100 has 144 divisors (see below), whose sum is σ = 25299630720. Its totient is φ = 3704140800.

The previous prime is 10423113091. The next prime is 10423113101. The reversal of 10423113100 is 131132401.

It is a super-2 number, since 2×104231131002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10423113101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15083755 + ... + 15084445.

It is an arithmetic number, because the mean of its divisors is an integer number (175691880).

Almost surely, 210423113100 is an apocalyptic number.

10423113100 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 10423113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12649815360).

10423113100 is an abundant number, since it is smaller than the sum of its proper divisors (14876517620).

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

10423113100 is a wasteful number, since it uses less digits than its factorization.

10423113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10423113100 its reverse (131132401), we get a palindrome (10554245501).

The spelling of 10423113100 in words is "ten billion, four hundred twenty-three million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 76 85 95 100 170 190 323 340 380 425 467 475 646 691 850 934 950 1292 1382 1615 1700 1868 1900 2335 2764 3230 3455 4670 6460 6910 7939 8075 8873 9340 11675 11747 13129 13820 15878 16150 17275 17746 23350 23494 26258 31756 32300 34550 35492 39695 44365 46700 46988 52516 58735 65645 69100 79390 88730 117470 131290 150841 158780 177460 198475 221825 223193 234940 262580 293675 301682 322697 328225 396950 443650 446386 587350 603364 645394 656450 754205 793900 887300 892772 1115965 1174700 1290788 1312900 1508410 1613485 2231930 3016820 3226970 3771025 4463860 5485849 5579825 6131243 6453940 7542050 8067425 10971698 11159650 12262486 15084100 16134850 21943396 22319300 24524972 27429245 30656215 32269700 54858490 61312430 104231131 109716980 122624860 137146225 153281075 208462262 274292450 306562150 416924524 521155655 548584900 613124300 1042311310 2084622620 2605778275 5211556550 10423113100