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1123101013120 = 2759718091189
BaseRepresentation
bin10000010101111110000…
…010010111010010000000
310222100220211200211021021
4100111332002113102000
5121400102324404440
62215540120235224
7144066330046012
oct20257602272200
93870824624237
101123101013120
113a3339274079
121617b830bb14
1381ba5a740c8
143c50356c1b2
151e333ab584a
hex1057e097480

1123101013120 has 64 divisors (see below), whose sum is σ = 2712593028600. Its totient is φ = 444609036288.

The previous prime is 1123101013091. The next prime is 1123101013193. The reversal of 1123101013120 is 213101013211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 999664028224 + 123436984896 = 999832^2 + 351336^2 .

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

It is a super-2 number, since 2×11231010131202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1123101013094 and 1123101013103.

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, 8983515 + ... + 9107674.

Almost surely, 21123101013120 is an apocalyptic number.

1123101013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1123101013120 is an abundant number, since it is smaller than the sum of its proper divisors (1589492015480).

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

1123101013120 is an equidigital number, since it uses as much as digits as its factorization.

1123101013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18091305 (or 18091293 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1123101013120 its reverse (213101013211), we get a palindrome (1336202026331).

Subtracting from 1123101013120 its reverse (213101013211), we obtain a palindrome (909999999909).

The spelling of 1123101013120 in words is "one trillion, one hundred twenty-three billion, one hundred one million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 128 160 194 320 388 485 640 776 970 1552 1940 3104 3880 6208 7760 12416 15520 31040 62080 18091189 36182378 72364756 90455945 144729512 180911890 289459024 361823780 578918048 723647560 1157836096 1447295120 1754845333 2315672192 2894590240 3509690666 5789180480 7019381332 8774226665 11578360960 14038762664 17548453330 28077525328 35096906660 56155050656 70193813320 112310101312 140387626640 224620202624 280775253280 561550506560 1123101013120