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101020001120 = 2551075900701
BaseRepresentation
bin101111000010101000…
…0101110001101100000
3100122202020221202201222
41132011100232031200
53123342110013440
6114224041114212
710204240561463
oct1360520561540
9318666852658
10101020001120
113992a180035
12176b3488968
1396abc306bc
144c646d72da
152963a6c2b5
hex178542e360

101020001120 has 48 divisors (see below), whose sum is σ = 240890258448. Its totient is φ = 40030348800.

The previous prime is 101020001111. The next prime is 101020001123. The reversal of 101020001120 is 21100020101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 101020001098 and 101020001107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020001123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2933231 + ... + 2967470.

It is an arithmetic number, because the mean of its divisors is an integer number (5018547051).

Almost surely, 2101020001120 is an apocalyptic number.

101020001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020001120 is an abundant number, since it is smaller than the sum of its proper divisors (139870257328).

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

101020001120 is a wasteful number, since it uses less digits than its factorization.

101020001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5900823 (or 5900815 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101020001120 its reverse (21100020101), we get a palindrome (122120021221).

The spelling of 101020001120 in words is "one hundred one billion, twenty million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 107 160 214 428 535 856 1070 1712 2140 3424 4280 8560 17120 5900701 11801402 23602804 29503505 47205608 59007010 94411216 118014020 188822432 236028040 472056080 631375007 944112160 1262750014 2525500028 3156875035 5051000056 6313750070 10102000112 12627500140 20204000224 25255000280 50510000560 101020001120