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10232013300 = 22352374122483
BaseRepresentation
bin10011000011110000…
…00010000111110100
3222102002100010112120
421201320002013310
5131423343411200
64411151315540
7511362451365
oct114170020764
928362303476
1010232013300
114380783043
121b9681bbb0
13c70aa2c52
146d0cb9b6c
153ed43c9a0
hex261e021f4

10232013300 has 144 divisors (see below), whose sum is σ = 31147714752. Its totient is φ = 2589926400.

The previous prime is 10232013277. The next prime is 10232013313. The reversal of 10232013300 is 331023201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10232013300.

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, 443859 + ... + 466341.

Almost surely, 210232013300 is an apocalyptic number.

10232013300 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 10232013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15573857376).

10232013300 is an abundant number, since it is smaller than the sum of its proper divisors (20915701452).

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

10232013300 is a wasteful number, since it uses less digits than its factorization.

10232013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22578 (or 22571 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10232013300 its reverse (331023201), we get a palindrome (10563036501).

Subtracting from 10232013300 its reverse (331023201), we obtain a palindrome (9900990099).

The spelling of 10232013300 in words is "ten billion, two hundred thirty-two million, thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 41 50 60 74 75 82 100 111 123 148 150 164 185 205 222 246 300 370 410 444 492 555 615 740 820 925 1025 1110 1230 1517 1850 2050 2220 2460 2775 3034 3075 3700 4100 4551 5550 6068 6150 7585 9102 11100 12300 15170 18204 22483 22755 30340 37925 44966 45510 67449 75850 89932 91020 112415 113775 134898 151700 224830 227550 269796 337245 449660 455100 562075 674490 831871 921803 1124150 1348980 1663742 1686225 1843606 2248300 2495613 2765409 3327484 3372450 3687212 4159355 4609015 4991226 5530818 6744900 8318710 9218030 9982452 11061636 12478065 13827045 16637420 18436060 20796775 23045075 24956130 27654090 34106711 41593550 46090150 49912260 55308180 62390325 68213422 69135225 83187100 92180300 102320133 124780650 136426844 138270450 170533555 204640266 249561300 276540900 341067110 409280532 511600665 682134220 852667775 1023201330 1705335550 2046402660 2558003325 3410671100 5116006650 10232013300