Search a number
-
+
100145402141 = 19291392395471
BaseRepresentation
bin101110101000100100…
…0011001000100011101
3100120111022020112111012
41131101020121010131
53120044210332031
6114001155305005
710143460605311
oct1352110310435
9316438215435
10100145402141
1139520517964
12174aa5ab165
13959c98b905
144bc04adb41
152911dabb2b
hex175121911d

100145402141 has 32 divisors (see below), whose sum is σ = 110315520000. Its totient is φ = 90546966720.

The previous prime is 100145402131. The next prime is 100145402171. The reversal of 100145402141 is 141204541001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100145402141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100145402131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18302036 + ... + 18307506.

It is an arithmetic number, because the mean of its divisors is an integer number (3447360000).

Almost surely, 2100145402141 is an apocalyptic number.

It is an amenable number.

100145402141 is a deficient number, since it is larger than the sum of its proper divisors (10170117859).

100145402141 is a wasteful number, since it uses less digits than its factorization.

100145402141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5897.

The product of its (nonzero) digits is 640, while the sum is 23.

Adding to 100145402141 its reverse (141204541001), we get a palindrome (241349943142).

The spelling of 100145402141 in words is "one hundred billion, one hundred forty-five million, four hundred two thousand, one hundred forty-one".

Divisors: 1 19 29 139 239 551 2641 4031 4541 5471 6931 33221 76589 103949 131689 158659 631199 760469 963409 1307569 3014521 14448911 18304771 22053601 24843811 37919501 181752091 419018419 720470519 3453289729 5270810639 100145402141