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10041522350340 = 223513109118107767
BaseRepresentation
bin1001001000011111100101…
…0111110110100100000100
31022112221220221212012101210
42102013321113312210010
52304010014210202330
633205002305051420
72054322166451265
oct222077127664404
938487827765353
1010041522350340
113221649648438
121162145626b70
1357abb07271b0
1426a02597a96c
1512630a3db8b0
hex921f95f6904

10041522350340 has 96 divisors (see below), whose sum is σ = 30556841736960. Its totient is φ = 2449082635776.

The previous prime is 10041522350303. The next prime is 10041522350347. The reversal of 10041522350340 is 4305322514001.

It is a super-2 number, since 2×100415223503402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10041522350298 and 10041522350307.

It is not an unprimeable number, because it can be changed into a prime (10041522350347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58968864 + ... + 59138903.

It is an arithmetic number, because the mean of its divisors is an integer number (318300434760).

Almost surely, 210041522350340 is an apocalyptic number.

10041522350340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10041522350340 is an abundant number, since it is smaller than the sum of its proper divisors (20515319386620).

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

10041522350340 is a wasteful number, since it uses less digits than its factorization.

10041522350340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118107901 (or 118107899 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 10041522350340 its reverse (4305322514001), we get a palindrome (14346844864341).

The spelling of 10041522350340 in words is "ten trillion, forty-one billion, five hundred twenty-two million, three hundred fifty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 109 130 156 195 218 260 327 390 436 545 654 780 1090 1308 1417 1635 2180 2834 3270 4251 5668 6540 7085 8502 14170 17004 21255 28340 42510 85020 118107767 236215534 354323301 472431068 590538835 708646602 1181077670 1417293204 1535400971 1771616505 2362155340 3070801942 3543233010 4606202913 6141603884 7086466020 7677004855 9212405826 12873746603 15354009710 18424811652 23031014565 25747493206 30708019420 38621239809 46062029130 51494986412 64368733015 77242479618 92124058260 128737466030 154484959236 167358705839 193106199045 257474932060 334717411678 386212398090 502076117517 669434823356 772424796180 836793529195 1004152235034 1673587058390 2008304470068 2510380587585 3347174116780 5020761175170 10041522350340