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11233103010120 = 23325113276133309
BaseRepresentation
bin1010001101110110100100…
…0111010101100101001000
31110202212121021002111211200
42203131221013111211020
52433020343332310440
635520225530024200
72236364523112035
oct243355107254510
943685537074750
1011233103010120
113640a28891612
121315073578060
1363637a948484
142ab983c4038c
151472ead97c30
hexa37691d5948

11233103010120 has 96 divisors (see below), whose sum is σ = 36830660887800. Its totient is φ = 2968985327616.

The previous prime is 11233103010079. The next prime is 11233103010131. The reversal of 11233103010120 is 2101030133211.

11233103010120 is a `hidden beast` number, since 1 + 1 + 233 + 10 + 301 + 0 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1745680422564 + 9487422587556 = 1321242^2 + 3080166^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11233103010093 and 11233103010102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138025975 + ... + 138107334.

Almost surely, 211233103010120 is an apocalyptic number.

11233103010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11233103010120 is an abundant number, since it is smaller than the sum of its proper divisors (25597557877680).

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

11233103010120 is a wasteful number, since it uses less digits than its factorization.

11233103010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276133439 (or 276133432 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11233103010120 its reverse (2101030133211), we get a palindrome (13334133143331).

The spelling of 11233103010120 in words is "eleven trillion, two hundred thirty-three billion, one hundred three million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 113 120 180 226 339 360 452 565 678 904 1017 1130 1356 1695 2034 2260 2712 3390 4068 4520 5085 6780 8136 10170 13560 20340 40680 276133309 552266618 828399927 1104533236 1380666545 1656799854 2209066472 2485199781 2761333090 3313599708 4141999635 4970399562 5522666180 6627199416 8283999270 9940799124 11045332360 12425998905 16567998540 19881598248 24851997810 31203063917 33135997080 49703995620 62406127834 93609191751 99407991240 124812255668 156015319585 187218383502 249624511336 280827575253 312030639170 374436767004 468045958755 561655150506 624061278340 748873534008 936091917510 1123310301012 1248122556680 1404137876265 1872183835020 2246620602024 2808275752530 3744367670040 5616551505060 11233103010120