Search a number
-
+
100034142315 = 35191269293443
BaseRepresentation
bin101110100101001111…
…1111110000001101011
3100120012112212221200220
41131022133332001223
53114332220023230
6113542142501123
710140640115532
oct1351237760153
9316175787626
10100034142315
1139473735798
12174792947a3
139582904cb3
144bad7cb319
152907230d10
hex174a7fe06b

100034142315 has 64 divisors (see below), whose sum is σ = 162407669760. Its totient is φ = 52575511040.

The previous prime is 100034142301. The next prime is 100034142319. The reversal of 100034142315 is 513241430001.

It is a happy number.

It is not a de Polignac number, because 100034142315 - 224 = 100017365099 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100034142319) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225810484 + ... + 225810926.

It is an arithmetic number, because the mean of its divisors is an integer number (2537619840).

Almost surely, 2100034142315 is an apocalyptic number.

100034142315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100034142315 is a deficient number, since it is larger than the sum of its proper divisors (62373527445).

100034142315 is a wasteful number, since it uses less digits than its factorization.

100034142315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 100034142315 its reverse (513241430001), we get a palindrome (613275572316).

The spelling of 100034142315 in words is "one hundred billion, thirty-four million, one hundred forty-two thousand, three hundred fifteen".

Divisors: 1 3 5 15 191 269 293 443 573 807 879 955 1329 1345 1465 2215 2865 4035 4395 6645 51379 55963 78817 84613 119167 129799 154137 167889 236451 253839 256895 279815 357501 389397 394085 423065 595835 648995 770685 839445 1182255 1269195 1787505 1946985 15054047 22760897 24791609 34915931 45162141 68282691 74374827 75270235 104747793 113804485 123958045 174579655 225810705 341413455 371874135 523738965 6668942821 20006828463 33344714105 100034142315