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130041023021 = 731327379389
BaseRepresentation
bin111100100011100001…
…1001000101000101101
3110102122210010102121222
41321013003020220231
54112311000214041
6135423502233125
712252352313000
oct1710703105055
9412583112558
10130041023021
1150171849358
12212525857a5
13c355538c00
146418b07537
1535b176874b
hex1e470c8a2d

130041023021 has 96 divisors (see below), whose sum is σ = 169004160000. Its totient is φ = 99938022912.

The previous prime is 130041022999. The next prime is 130041023027. The reversal of 130041023021 is 120320140031.

It is not a de Polignac number, because 130041023021 - 26 = 130041022957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130041023027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 334295495 + ... + 334295883.

It is an arithmetic number, because the mean of its divisors is an integer number (1760460000).

Almost surely, 2130041023021 is an apocalyptic number.

It is an amenable number.

130041023021 is a deficient number, since it is larger than the sum of its proper divisors (38963136979).

130041023021 is an equidigital number, since it uses as much as digits as its factorization.

130041023021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 130041023021 its reverse (120320140031), we get a palindrome (250361163052).

The spelling of 130041023021 in words is "one hundred thirty billion, forty-one million, twenty-three thousand, twenty-one".

Divisors: 1 7 13 49 73 79 91 169 343 389 511 553 637 949 1027 1183 2723 3577 3871 4459 5057 5767 6643 7189 8281 12337 13351 19061 25039 27097 28397 30731 35399 40369 46501 50323 57967 65741 74971 86359 93457 133427 198779 215117 247793 282583 325507 352261 369161 399503 460187 524797 604513 654199 974623 1391453 1505819 1734551 1978081 2243363 2584127 2796521 3221309 3673579 4231591 4579393 4799093 5193539 6822361 9740171 10540733 15703541 18088889 19575647 22549163 25715053 29163719 33593651 36354773 47756527 109924787 126622223 137029529 204146033 235155557 254483411 334295689 379128347 769473509 1429022231 1646088899 1781383877 2653898429 10003155617 18577289003 130041023021