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10132001100 = 22335213288661
BaseRepresentation
bin10010110111110101…
…00001000101001100
3222011010010222121000
421123322201011030
5131222243013400
64353215540300
7506036405544
oct113372410514
928133128530
1010132001100
11432a283431
121b6922a690
13c56156a30
146c18c4324
153e4784600
hex25bea114c

10132001100 has 144 divisors (see below), whose sum is σ = 35078206240. Its totient is φ = 2494022400.

The previous prime is 10132001083. The next prime is 10132001107. The reversal of 10132001100 is 110023101.

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

It is not an unprimeable number, because it can be changed into a prime (10132001107) 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, 109231 + ... + 179430.

Almost surely, 210132001100 is an apocalyptic number.

10132001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132001100 is an abundant number, since it is smaller than the sum of its proper divisors (24946205140).

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

10132001100 is a wasteful number, since it uses less digits than its factorization.

10132001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288697 (or 288684 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10132001100 its reverse (110023101), we get a palindrome (10242024201).

The spelling of 10132001100 in words is "ten billion, one hundred thirty-two million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 27 30 36 39 45 50 52 54 60 65 75 78 90 100 108 117 130 135 150 156 180 195 225 234 260 270 300 325 351 390 450 468 540 585 650 675 702 780 900 975 1170 1300 1350 1404 1755 1950 2340 2700 2925 3510 3900 5850 7020 8775 11700 17550 35100 288661 577322 865983 1154644 1443305 1731966 2597949 2886610 3463932 3752593 4329915 5195898 5773220 7216525 7505186 7793847 8659830 10391796 11257779 12989745 14433050 15010372 15587694 17319660 18762965 21649575 22515558 25979490 28866100 31175388 33773337 37525930 38969235 43299150 45031116 51958980 56288895 64948725 67546674 75051860 77938470 86598300 93814825 101320011 112577790 129897450 135093348 155876940 168866685 187629650 194846175 202640022 225155580 259794900 281444475 337733370 375259300 389692350 405280044 506600055 562888950 675466740 779384700 844333425 1013200110 1125777900 1688666850 2026400220 2533000275 3377333700 5066000550 10132001100