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1121265426141 = 327177399711459
BaseRepresentation
bin10000010100010000101…
…000001001111011011101
310222012011220201100022100
4100110100220021323131
5121332322422114031
62215034025235313
7144003000603330
oct20242050117335
93865156640270
101121265426141
113a2587113443
12161385632b39
13819726a4073
143c3ab870617
151e27787cde6
hex10510a09edd

1121265426141 has 96 divisors (see below), whose sum is σ = 1965878553600. Its totient is φ = 601184954880.

The previous prime is 1121265426139. The next prime is 1121265426173. The reversal of 1121265426141 is 1416245621211.

1121265426141 is a `hidden beast` number, since 1 + 1 + 2 + 12 + 6 + 542 + 61 + 41 = 666.

It is not a de Polignac number, because 1121265426141 - 21 = 1121265426139 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1121265426096 and 1121265426105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121265426101) 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, 768515670 + ... + 768517128.

It is an arithmetic number, because the mean of its divisors is an integer number (20477901600).

Almost surely, 21121265426141 is an apocalyptic number.

It is an amenable number.

1121265426141 is a deficient number, since it is larger than the sum of its proper divisors (844613127459).

1121265426141 is a wasteful number, since it uses less digits than its factorization.

1121265426141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199 (or 3196 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The spelling of 1121265426141 in words is "one trillion, one hundred twenty-one billion, two hundred sixty-five million, four hundred twenty-six thousand, one hundred forty-one".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 739 971 1071 1459 2217 2913 4377 5173 6651 6797 8739 10213 12563 13131 15519 16507 20391 24803 30639 37689 46557 49521 61173 74409 87941 91917 113067 115549 148563 173621 223227 263823 346647 520863 717569 791469 1039941 1078201 1416689 1562589 2152707 3234603 4250067 5022983 6458121 7547407 9703809 9916823 12198673 12750201 15068949 18329417 22642221 24083713 29750469 36596019 45206847 54988251 67926663 72251139 85390711 89251407 109788057 128305919 164964753 168585991 216753417 256172133 384917757 505757973 768516399 1046933171 1154753271 1517273919 3140799513 7328532197 9422398539 17797863907 21985596591 53393591721 65956789773 124585047349 160180775163 373755142047 1121265426141