Search a number
-
+
145117633101 = 37231190716699
BaseRepresentation
bin1000011100100110101…
…1110101101001001101
3111212120111102120120220
42013021223311221031
54334200103224401
6150355514301553
713325102346300
oct2071153655115
9455514376526
10145117633101
11565a9136691
122415b7278b9
13108b8bc936c
147049190b37
153b95162336
hex21c9af5a4d

145117633101 has 48 divisors (see below), whose sum is σ = 232476825600. Its totient is φ = 80202497760.

The previous prime is 145117633093. The next prime is 145117633109. The reversal of 145117633101 is 101336711541.

It is an interprime number because it is at equal distance from previous prime (145117633093) and next prime (145117633109).

It is not a de Polignac number, because 145117633101 - 23 = 145117633093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145117633109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8681850 + ... + 8698548.

It is an arithmetic number, because the mean of its divisors is an integer number (4843267200).

Almost surely, 2145117633101 is an apocalyptic number.

It is an amenable number.

145117633101 is a deficient number, since it is larger than the sum of its proper divisors (87359192499).

145117633101 is a wasteful number, since it uses less digits than its factorization.

145117633101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18654 (or 18647 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The spelling of 145117633101 in words is "one hundred forty-five billion, one hundred seventeen million, six hundred thirty-three thousand, one hundred one".

Divisors: 1 3 7 21 31 49 93 147 217 651 1519 1907 4557 5721 13349 16699 40047 50097 59117 93443 116893 177351 280329 350679 413819 517669 818251 1241457 1553007 2454753 2896733 3623683 8690199 10871049 25365781 31844993 76097343 95534979 222914951 668744853 987194783 1560404657 2961584349 4681213971 6910363481 20731090443 48372544367 145117633101