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10213323300 = 22325213186627
BaseRepresentation
bin10011000001100001…
…01111001000100100
3222100210011120200100
421200300233020210
5131404102321200
64405242544100
7511044546525
oct114060571044
928323146610
1010213323300
114371177a64
121b90508030
13c69c5ab8b
146cc61284c
153eb999d00
hex260c2f224

10213323300 has 108 divisors (see below), whose sum is σ = 32257841616. Its totient is φ = 2702731200.

The previous prime is 10213323299. The next prime is 10213323317. The reversal of 10213323300 is 332331201.

10213323300 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 332 + 330 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 74587 + ... + 161213.

Almost surely, 210213323300 is an apocalyptic number.

10213323300 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 10213323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16128920808).

10213323300 is an abundant number, since it is smaller than the sum of its proper divisors (22044518316).

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

10213323300 is a wasteful number, since it uses less digits than its factorization.

10213323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86778 (or 86768 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10213323300 its reverse (332331201), we get a palindrome (10545654501).

The spelling of 10213323300 in words is "ten billion, two hundred thirteen million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 131 150 180 225 262 300 393 450 524 655 786 900 1179 1310 1572 1965 2358 2620 3275 3930 4716 5895 6550 7860 9825 11790 13100 19650 23580 29475 39300 58950 86627 117900 173254 259881 346508 433135 519762 779643 866270 1039524 1299405 1559286 1732540 2165675 2598810 3118572 3898215 4331350 5197620 6497025 7796430 8662700 11348137 12994050 15592860 19491075 22696274 25988100 34044411 38982150 45392548 56740685 68088822 77964300 102133233 113481370 136177644 170222055 204266466 226962740 283703425 340444110 408532932 510666165 567406850 680888220 851110275 1021332330 1134813700 1702220550 2042664660 2553330825 3404441100 5106661650 10213323300