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10312220010 = 2354359157863
BaseRepresentation
bin10011001101010011…
…11111110101101010
3222121200021001110110
421212221333311222
5132104412020020
64423134355150
7513355265241
oct114651776552
928550231413
1010312220010
114411a85584
121bb965bab6
13c845a6441
146db7d7958
154054d28e0
hex266a7fd6a

10312220010 has 128 divisors (see below), whose sum is σ = 25948200960. Its totient is φ = 2620590336.

The previous prime is 10312219991. The next prime is 10312220063. The reversal of 10312220010 is 1002221301.

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, 11948839 + ... + 11949701.

It is an arithmetic number, because the mean of its divisors is an integer number (202720320).

Almost surely, 210312220010 is an apocalyptic number.

10312220010 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 10312220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12974100480).

10312220010 is an abundant number, since it is smaller than the sum of its proper divisors (15635980950).

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

10312220010 is a wasteful number, since it uses less digits than its factorization.

10312220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10312220010 its reverse (1002221301), we get a palindrome (11314441311).

The spelling of 10312220010 in words is "ten billion, three hundred twelve million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 43 59 86 118 129 157 177 215 258 295 314 354 430 471 590 645 785 863 885 942 1290 1570 1726 1770 2355 2537 2589 4315 4710 5074 5178 6751 7611 8630 9263 12685 12945 13502 15222 18526 20253 25370 25890 27789 33755 37109 38055 40506 46315 50917 55578 67510 74218 76110 92630 101265 101834 111327 135491 138945 152751 185545 202530 222654 254585 270982 277890 305502 371090 398309 406473 509170 556635 677455 763755 796618 812946 1113270 1194927 1354910 1527510 1991545 2032365 2189431 2389854 3983090 4064730 4378862 5826113 5974635 6568293 7993969 10947155 11652226 11949270 13136586 15987938 17478339 21894310 23981907 29130565 32841465 34956678 39969845 47963814 58261130 65682930 79939690 87391695 119909535 174783390 239819070 343740667 687481334 1031222001 1718703335 2062444002 3437406670 5156110005 10312220010