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130012020101223 = 33131993498276449
BaseRepresentation
bin11101100011111011001000…
…010001100101000001100111
3122001100000202012221200211000
4131203323020101211001213
5114020104104121214343
61140302410354244343
736246026025655401
oct3543731021450147
9561300665850730
10130012020101223
1138475873a39187
12126b924a5866b3
135771108937210
14241688872db71
151006d9e989ed3
hex763ec8465067

130012020101223 has 128 divisors (see below), whose sum is σ = 209351520000000. Its totient is φ = 79268978460672.

The previous prime is 130012020101191. The next prime is 130012020101251. The reversal of 130012020101223 is 322101020210031.

130012020101223 is a `hidden beast` number, since 1 + 300 + 1 + 20 + 20 + 101 + 223 = 666.

It is not a de Polignac number, because 130012020101223 - 25 = 130012020101191 is a prime.

It is a super-2 number, since 2×1300120201012232 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130012020101196 and 130012020101205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130012020101323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20160024703 + ... + 20160031151.

It is an arithmetic number, because the mean of its divisors is an integer number (1635558750000).

Almost surely, 2130012020101223 is an apocalyptic number.

130012020101223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

130012020101223 is a deficient number, since it is larger than the sum of its proper divisors (79339499898777).

130012020101223 is a wasteful number, since it uses less digits than its factorization.

130012020101223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7846 (or 7840 counting only the distinct ones).

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

Adding to 130012020101223 its reverse (322101020210031), we get a palindrome (452113040311254).

The spelling of 130012020101223 in words is "one hundred thirty trillion, twelve billion, twenty million, one hundred one thousand, two hundred twenty-three".

Divisors: 1 3 9 13 27 39 117 199 349 351 597 827 1047 1791 2481 2587 3141 4537 5373 6449 7443 7761 9423 10751 13611 19347 22329 23283 32253 40833 58041 69451 69849 83837 96759 122499 164573 174123 208353 251511 288623 290277 493719 625059 754533 865869 902863 1283351 1481157 1875177 2139449 2250701 2263599 2597607 2708589 3752099 3850053 4443471 5333323 6418347 6752103 7792821 8125767 11256297 11550159 15999969 16683563 19255041 20256309 24377301 29259113 33768891 34650477 47999907 50050689 57435977 57765123 60768927 69333199 87777339 101306673 143999721 150152067 172307931 207999597 263332017 447889499 450456201 516923793 623998791 746667701 789996051 1061331277 1343668497 1550771379 1861329727 1871996373 2240003103 3183993831 4031005491 5583989181 5822563487 6720009309 9551981493 12093016473 13797306601 16751967543 17467690461 20160027927 24197286451 28655944479 41391919803 50255902629 52403071383 72591859353 124175759409 157209214149 217775578059 370404615673 372527278227 653326734177 1111213847019 3333641541057 4815260003749 10000924623171 14445780011247 43337340033741 130012020101223