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10101120 = 27355261
BaseRepresentation
bin100110100010…
…000110000000
3201000012010120
4212202012000
510041213440
61000300240
7151600221
oct46420600
921005116
1010101120
11577a137
123471680
1321288c3
1414ad248
15d47dd0
hex9a2180

10101120 has 64 divisors (see below), whose sum is σ = 32203440. Its totient is φ = 2693120.

The previous prime is 10101109. The next prime is 10101137. The reversal of 10101120 is 2110101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 10101099 and 10101108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 711 + ... + 4550.

Almost surely, 210101120 is an apocalyptic number.

10101120 is a gapful number since it is divisible by the number (10) 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 10101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16101720).

10101120 is an abundant number, since it is smaller than the sum of its proper divisors (22102320).

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

10101120 is an equidigital number, since it uses as much as digits as its factorization.

10101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5283 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 10101120 is about 3178.2259202266. The cubic root of 10101120 is about 216.1672230435.

Adding to 10101120 its reverse (2110101), we get a palindrome (12211221).

The spelling of 10101120 in words is "ten million, one hundred 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 96 120 128 160 192 240 320 384 480 640 960 1920 5261 10522 15783 21044 26305 31566 42088 52610 63132 78915 84176 105220 126264 157830 168352 210440 252528 315660 336704 420880 505056 631320 673408 841760 1010112 1262640 1683520 2020224 2525280 3367040 5050560 10101120