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100021001120 = 2553471801531
BaseRepresentation
bin101110100100110110…
…1110101101110100000
3100120011122011022100222
41131021231311232200
53114320334013440
6113540553102212
710140420324155
oct1351155655640
9316148138328
10100021001120
113946727a5a7
12174749b7968
13957cc83741
144babb6a22c
152905ed72b5
hex1749b75ba0

100021001120 has 48 divisors (see below), whose sum is σ = 236980725408. Its totient is φ = 39893080320.

The previous prime is 100021001111. The next prime is 100021001147. The reversal of 100021001120 is 21100120001.

100021001120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 100021001098 and 100021001107.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 845246 + ... + 956285.

It is an arithmetic number, because the mean of its divisors is an integer number (4937098446).

Almost surely, 2100021001120 is an apocalyptic number.

100021001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100021001120 is an abundant number, since it is smaller than the sum of its proper divisors (136959724288).

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

100021001120 is a wasteful number, since it uses less digits than its factorization.

100021001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801893 (or 1801885 counting only the distinct ones).

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

Adding to 100021001120 its reverse (21100120001), we get a palindrome (121121121121).

The spelling of 100021001120 in words is "one hundred billion, twenty-one million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 347 694 1388 1735 2776 3470 5552 6940 11104 13880 27760 55520 1801531 3603062 7206124 9007655 14412248 18015310 28824496 36030620 57648992 72061240 144122480 288244960 625131257 1250262514 2500525028 3125656285 5001050056 6251312570 10002100112 12502625140 20004200224 25005250280 50010500560 100021001120