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2234000103120 = 243351034259307
BaseRepresentation
bin100000100000100100110…
…010000101011011010000
321220120100022022201202000
4200200210302011123100
5243100213011244440
64430141355154000
7320254414364112
oct40404462053320
97816308281660
102234000103120
117914858aa765
12300b6a145900
131328858a4c56
147a1aa3593b2
153d1a1321730
hex20824c856d0

2234000103120 has 80 divisors (see below), whose sum is σ = 7694889251520. Its totient is φ = 595733360256.

The previous prime is 2234000103109. The next prime is 2234000103161. The reversal of 2234000103120 is 213010004322.

2234000103120 is a `hidden beast` number, since 2 + 2 + 340 + 0 + 0 + 10 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 2234000103093 and 2234000103102.

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, 517127494 + ... + 517131813.

It is an arithmetic number, because the mean of its divisors is an integer number (96186115644).

Almost surely, 22234000103120 is an apocalyptic number.

2234000103120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2234000103120 is an abundant number, since it is smaller than the sum of its proper divisors (5460889148400).

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

2234000103120 is a wasteful number, since it uses less digits than its factorization.

2234000103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034259329 (or 1034259317 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2234000103120 its reverse (213010004322), we get a palindrome (2447010107442).

The spelling of 2234000103120 in words is "two trillion, two hundred thirty-four billion, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 1034259307 2068518614 3102777921 4137037228 5171296535 6205555842 8274074456 9308333763 10342593070 12411111684 15513889605 16548148912 18616667526 20685186140 24822223368 27925001289 31027779210 37233335052 41370372280 46541668815 49644446736 55850002578 62055558420 74466670104 82740744560 93083337630 111700005156 124111116840 139625006445 148933340208 186166675260 223400010312 248222233680 279250012890 372333350520 446800020624 558500025780 744666701040 1117000051560 2234000103120