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10100232330 = 23541157193271
BaseRepresentation
bin10010110100000010…
…10101000010001010
3222001220100222000220
421122001111002022
5131141124413310
64350123010510
7505202362326
oct113201250212
928056328026
1010100232330
114313355051
121b5a669a36
13c4c6b2946
146bb5b4986
153e1aab670
hex25a05508a

10100232330 has 128 divisors (see below), whose sum is σ = 25212128256. Its totient is φ = 2587852800.

The previous prime is 10100232299. The next prime is 10100232377. The reversal of 10100232330 is 3323200101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37270095 + ... + 37270365.

It is an arithmetic number, because the mean of its divisors is an integer number (196969752).

Almost surely, 210100232330 is an apocalyptic number.

10100232330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100232330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12606064128).

10100232330 is an abundant number, since it is smaller than the sum of its proper divisors (15111895926).

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

10100232330 is a wasteful number, since it uses less digits than its factorization.

10100232330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672.

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

Adding to 10100232330 its reverse (3323200101), we get a palindrome (13423432431).

The spelling of 10100232330 in words is "ten billion, one hundred million, two hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 157 193 205 246 271 314 386 410 471 542 579 615 785 813 942 965 1158 1230 1355 1570 1626 1930 2355 2710 2895 4065 4710 5790 6437 7913 8130 11111 12874 15826 19311 22222 23739 30301 32185 33333 38622 39565 42547 47478 52303 55555 60602 64370 66666 79130 85094 90903 96555 104606 111110 118695 127641 151505 156909 166665 181806 193110 212735 237390 255282 261515 303010 313818 333330 425470 454515 523030 638205 784545 909030 1242341 1276410 1569090 1744427 2144423 2484682 3488854 3727023 4288846 5233281 6211705 6433269 7454046 8211571 8722135 10466562 10722115 12423410 12866538 16423142 17444270 18635115 21444230 24634713 26166405 32166345 37270230 41057855 49269426 52332810 64332690 82115710 123173565 246347130 336674411 673348822 1010023233 1683372055 2020046466 3366744110 5050116165 10100232330