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10234751004 = 2233375943411
BaseRepresentation
bin10011000100000100…
…11110100000011100
3222102021111012222000
421202002132200130
5131430044013004
64411330122300
7511424643132
oct114202364034
928367435860
1010234751004
114382282a05
121b97720390
13c715210aa
146d13cd752
153ed7cdc39
hex26209e81c

10234751004 has 96 divisors (see below), whose sum is σ = 27714220800. Its totient is φ = 3263042880.

The previous prime is 10234750951. The next prime is 10234751099. The reversal of 10234751004 is 40015743201.

10234751004 is a `hidden beast` number, since 102 + 3 + 47 + 510 + 0 + 4 = 666.

It is a super-2 number, since 2×102347510042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 214059 + ... + 257469.

It is an arithmetic number, because the mean of its divisors is an integer number (288689800).

Almost surely, 210234751004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10234751004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13857110400).

10234751004 is an abundant number, since it is smaller than the sum of its proper divisors (17479469796).

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

10234751004 is a wasteful number, since it uses less digits than its factorization.

10234751004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43520 (or 43512 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

It can be divided in two parts, 102347 and 51004, that added together give a palindrome (153351).

The spelling of 10234751004 in words is "ten billion, two hundred thirty-four million, seven hundred fifty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 59 74 108 111 118 148 177 222 236 333 354 444 531 666 708 999 1062 1332 1593 1998 2124 2183 3186 3996 4366 6372 6549 8732 13098 19647 26196 39294 43411 58941 78588 86822 117882 130233 173644 235764 260466 390699 520932 781398 1172097 1562796 1606207 2344194 2561249 3212414 4688388 4818621 5122498 6424828 7683747 9637242 10244996 14455863 15367494 19274484 23051241 28911726 30734988 43367589 46102482 57823452 69153723 86735178 92204964 94766213 138307446 173470356 189532426 276614892 284298639 379064852 568597278 852895917 1137194556 1705791834 2558687751 3411583668 5117375502 10234751004