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100142425431 = 32237339716693
BaseRepresentation
bin101110101000011110…
…1000010010101010111
3100120111002122022012200
41131100331002111113
53120042430103211
6114001011415543
710143423366666
oct1352075022527
9316432568180
10100142425431
1139519874474
12174a95b45b3
13959c188a49
144bbdd36ddd
1529119beb56
hex1750f42557

100142425431 has 48 divisors (see below), whose sum is σ = 153401566656. Its totient is φ = 62821744128.

The previous prime is 100142425423. The next prime is 100142425447. The reversal of 100142425431 is 134524241001.

100142425431 is a `hidden beast` number, since 100 + 14 + 2 + 4 + 2 + 543 + 1 = 666.

It is not a de Polignac number, because 100142425431 - 23 = 100142425423 is a prime.

It is a super-2 number, since 2×1001424254312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100142425395 and 100142425404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100142425631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5990721 + ... + 6007413.

It is an arithmetic number, because the mean of its divisors is an integer number (3195865972).

Almost surely, 2100142425431 is an apocalyptic number.

100142425431 is a deficient number, since it is larger than the sum of its proper divisors (53259141225).

100142425431 is a wasteful number, since it uses less digits than its factorization.

100142425431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17192 (or 17189 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 100142425431 its reverse (134524241001), we get a palindrome (234666666432).

The spelling of 100142425431 in words is "one hundred billion, one hundred forty-two million, four hundred twenty-five thousand, four hundred thirty-one".

Divisors: 1 3 9 23 69 73 207 219 397 657 1191 1679 3573 5037 9131 15111 16693 27393 28981 50079 82179 86943 150237 260829 383939 666563 1151817 1218589 1999689 3455451 3655767 5999067 6627121 10967301 19881363 28027547 59644089 84082641 152423783 252247923 457271349 483779833 1371814047 1451339499 4354018497 11126936159 33380808477 100142425431