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10212133104 = 2433171390541
BaseRepresentation
bin10011000001011000…
…01100100011110000
3222100200221010001000
421200230030203300
5131403301224404
64405201242000
7511031461545
oct114054144360
928320833030
1010212133104
114370534828
121b90033300
13c69932214
146cc3c2bcc
153eb812339
hex260b0c8f0

10212133104 has 80 divisors (see below), whose sum is σ = 31036897440. Its totient is φ = 3203804160.

The previous prime is 10212133103. The next prime is 10212133153. The reversal of 10212133104 is 40133121201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212133103) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 687927 + ... + 702614.

It is an arithmetic number, because the mean of its divisors is an integer number (387961218).

Almost surely, 210212133104 is an apocalyptic number.

It is an amenable number.

10212133104 is an abundant number, since it is smaller than the sum of its proper divisors (20824764336).

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

10212133104 is a wasteful number, since it uses less digits than its factorization.

10212133104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390575 (or 1390563 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10212133104 its reverse (40133121201), we get a palindrome (50345254305).

The spelling of 10212133104 in words is "ten billion, two hundred twelve million, one hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 1390541 2781082 4171623 5562164 8343246 11124328 12514869 16686492 22248656 23639197 25029738 33372984 37544607 47278394 50059476 66745968 70917591 75089214 94556788 100118952 141835182 150178428 189113576 200237904 212752773 283670364 300356856 378227152 425505546 567340728 600713712 638258319 851011092 1134681456 1276516638 1702022184 2553033276 3404044368 5106066552 10212133104