Search a number
-
+
100142510 = 251329101263
BaseRepresentation
bin1011111100000…
…00110110101110
320222102202200212
411332000312232
5201114030020
613534222422
72324124446
oct576006656
9228382625
10100142510
1151589606
1229654a12
1317993630
14d42b126
158bd1cc5
hex5f80dae

100142510 has 64 divisors (see below), whose sum is σ = 203575680. Its totient is φ = 35212800.

The previous prime is 100142507. The next prime is 100142531. The reversal of 100142510 is 15241001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380639 + ... + 380901.

It is an arithmetic number, because the mean of its divisors is an integer number (3180870).

Almost surely, 2100142510 is an apocalyptic number.

100142510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100142510 is an abundant number, since it is smaller than the sum of its proper divisors (103433170).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100142510 is a wasteful number, since it uses less digits than its factorization.

100142510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413.

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 100142510 is about 10007.1229631698. The cubic root of 100142510 is about 464.3792696451.

Adding to 100142510 its reverse (15241001), we get a palindrome (115383511).

The spelling of 100142510 in words is "one hundred million, one hundred forty-two thousand, five hundred ten".

Divisors: 1 2 5 10 13 26 29 58 65 101 130 145 202 263 290 377 505 526 754 1010 1313 1315 1885 2626 2630 2929 3419 3770 5858 6565 6838 7627 13130 14645 15254 17095 26563 29290 34190 38077 38135 53126 76154 76270 99151 132815 190385 198302 265630 345319 380770 495755 690638 770327 991510 1540654 1726595 3453190 3851635 7703270 10014251 20028502 50071255 100142510