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10231214100 = 22352372833257
BaseRepresentation
bin10011000011101001…
…11111000000010100
3222102000211112020120
421201310333000110
5131423142322400
64411122231540
7511352612352
oct114164770024
928360745216
1010231214100
114380287648
121b964b55b0
13c70883253
146d0b4c7d2
153ed330ca0
hex261d3f014

10231214100 has 144 divisors (see below), whose sum is σ = 30519171648. Its totient is φ = 2644392960.

The previous prime is 10231214099. The next prime is 10231214141. The reversal of 10231214100 is 141213201.

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 10231214100.

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, 3139672 + ... + 3142928.

It is an arithmetic number, because the mean of its divisors is an integer number (211938692).

Almost surely, 210231214100 is an apocalyptic number.

10231214100 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 10231214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15259585824).

10231214100 is an abundant number, since it is smaller than the sum of its proper divisors (20287957548).

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

10231214100 is a wasteful number, since it uses less digits than its factorization.

10231214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594 (or 3587 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10231214100 its reverse (141213201), we get a palindrome (10372427301).

The spelling of 10231214100 in words is "ten billion, two hundred thirty-one million, two hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 283 300 370 444 555 566 740 849 925 1110 1132 1415 1698 1850 2220 2775 2830 3257 3396 3700 4245 5550 5660 6514 7075 8490 9771 10471 11100 13028 14150 16285 16980 19542 20942 21225 28300 31413 32570 39084 41884 42450 48855 52355 62826 65140 81425 84900 97710 104710 120509 125652 157065 162850 195420 209420 241018 244275 261775 314130 325700 361527 482036 488550 523550 602545 628260 723054 785325 921731 977100 1047100 1205090 1446108 1570650 1807635 1843462 2410180 2765193 3012725 3141300 3615270 3686924 4608655 5530386 6025450 7230540 9038175 9217310 11060772 12050900 13825965 18076350 18434620 23043275 27651930 34104047 36152700 46086550 55303860 68208094 69129825 92173100 102312141 136416188 138259650 170520235 204624282 276519300 341040470 409248564 511560705 682080940 852601175 1023121410 1705202350 2046242820 2557803525 3410404700 5115607050 10231214100