Search a number
-
+
101100100420 = 225112231816387
BaseRepresentation
bin101111000101000001…
…0010001101101000100
3100122221211200020022201
41132022002101231010
53124023111203140
6114240022004244
710206232450234
oct1361202215504
9318854606281
10101100100420
1139970409900
1217716276684
1396c26c7037
144c711c7cc4
15296aae049a
hex178a091b44

101100100420 has 72 divisors (see below), whose sum is σ = 243512240832. Its totient is φ = 35165232960.

The previous prime is 101100100399. The next prime is 101100100421. The reversal of 101100100420 is 24001001101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101100100397 and 101100100406.

It is not an unprimeable number, because it can be changed into a prime (101100100421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 852534 + ... + 963853.

It is an arithmetic number, because the mean of its divisors is an integer number (3382114456).

Almost surely, 2101100100420 is an apocalyptic number.

101100100420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100100420 is an abundant number, since it is smaller than the sum of its proper divisors (142412140412).

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

101100100420 is a wasteful number, since it uses less digits than its factorization.

101100100420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816441 (or 1816428 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101100100420 its reverse (24001001101), we get a palindrome (125101101521).

The spelling of 101100100420 in words is "one hundred one billion, one hundred million, one hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 121 220 230 242 253 460 484 506 605 1012 1210 1265 2420 2530 2783 5060 5566 11132 13915 27830 55660 1816387 3632774 7265548 9081935 18163870 19980257 36327740 39960514 41776901 79921028 83553802 99901285 167107604 199802570 208884505 219782827 399605140 417769010 439565654 459545911 835538020 879131308 919091822 1098914135 1838183644 2197828270 2297729555 4395656540 4595459110 5055005021 9190918220 10110010042 20220020084 25275025105 50550050210 101100100420