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2101341120 = 263513211657
BaseRepresentation
bin111110100111111…
…1110101111000000
312102110001012002220
41331033332233000
513300420403440
6544303011040
7103034050644
oct17517765700
95373035086
102101341120
1198917475a
124a7899a80
1327646a418
1415d118c24
15c472e8d0
hex7d3febc0

2101341120 has 112 divisors (see below), whose sum is σ = 6680838048. Its totient is φ = 559595520.

The previous prime is 2101341079. The next prime is 2101341133. The reversal of 2101341120 is 211431012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2101341120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1267332 + ... + 1268988.

Almost surely, 22101341120 is an apocalyptic number.

2101341120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340419024).

2101341120 is an abundant number, since it is smaller than the sum of its proper divisors (4579496928).

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

2101341120 is a wasteful number, since it uses less digits than its factorization.

2101341120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2101341120 is about 45840.3874329177. The cubic root of 2101341120 is about 1280.8517117912.

Adding to 2101341120 its reverse (211431012), we get a palindrome (2312772132).

The spelling of 2101341120 in words is "two billion, one hundred one million, three hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1321 1657 2642 3314 3963 4971 5284 6605 6628 7926 8285 9942 10568 13210 13256 15852 16570 19815 19884 21136 24855 26420 26512 31704 33140 39630 39768 42272 49710 52840 53024 63408 66280 79260 79536 84544 99420 105680 106048 126816 132560 158520 159072 198840 211360 253632 265120 317040 318144 397680 422720 530240 634080 795360 1268160 1590720 2188897 4377794 6566691 8755588 10944485 13133382 17511176 21888970 26266764 32833455 35022352 43777940 52533528 65666910 70044704 87555880 105067056 131333820 140089408 175111760 210134112 262667640 350223520 420268224 525335280 700447040 1050670560 2101341120