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10242113054151 = 31126110316092791
BaseRepresentation
bin1001010100001010110110…
…0000101010010111000111
31100021010200110122202012010
42111002231200222113013
52320301321420213101
633441054540025303
72104653052345656
oct225025540522707
940233613582163
1010242113054151
113299723898100
121194ba6b32233
13593a9a238844
14275a142a519d
1512b64a6442d6
hex950ad82a5c7

10242113054151 has 96 divisors (see below), whose sum is σ = 15419771960320. Its totient is φ = 6040381248000.

The previous prime is 10242113054141. The next prime is 10242113054167. The reversal of 10242113054151 is 15145031124201.

It is not a de Polignac number, because 10242113054151 - 27 = 10242113054023 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242113054141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3669691566 + ... + 3669694356.

Almost surely, 210242113054151 is an apocalyptic number.

10242113054151 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10242113054151 is a deficient number, since it is larger than the sum of its proper divisors (5177658906169).

10242113054151 is a wasteful number, since it uses less digits than its factorization.

10242113054151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4589 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 10242113054151 its reverse (15145031124201), we get a palindrome (25387144178352).

The spelling of 10242113054151 in words is "ten trillion, two hundred forty-two billion, one hundred thirteen million, fifty-four thousand, one hundred fifty-one".

Divisors: 1 3 11 33 61 103 121 183 309 363 671 1133 1609 2013 2791 3399 4827 6283 7381 8373 12463 17699 18849 22143 30701 37389 53097 69113 92103 98149 165727 170251 194689 207339 287473 294447 337711 497181 510753 584067 760243 862419 1013133 1079639 1822997 1872761 2280729 3162203 3238917 4490719 5468991 5618283 9486609 10109347 11876029 13472157 17535853 20052967 20600371 30328041 34784233 35628087 49397909 52607559 60158901 61801113 104352699 111202817 148193727 192894383 273933859 333608451 462544057 543376999 578683149 821801577 1223230987 1387632171 1630130997 2121838213 3013272449 3669692961 5087984627 6365514639 9039817347 15263953881 28215187477 33145996939 55967830897 84645562431 99437990817 167903492691 310367062247 931101186741 3414037684717 10242113054151