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1123035541140 = 223531728382903
BaseRepresentation
bin10000010101111010001…
…000100110111010010100
310222100202021111111121010
4100111322020212322110
5121344434044304030
62215525421052220
7144064603411422
oct20257210467224
93870667444533
101123035541140
113a3305315aa7
1216179a3b7070
1381b9532c5a6
143c4d89a8112
151e32ce816b0
hex1057a226e94

1123035541140 has 96 divisors (see below), whose sum is σ = 3246419828736. Its totient is φ = 289772334720.

The previous prime is 1123035541099. The next prime is 1123035541169. The reversal of 1123035541140 is 411455303211.

It is a super-2 number, since 2×11230355411402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1123035541098 and 1123035541107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13504929 + ... + 13587831.

It is an arithmetic number, because the mean of its divisors is an integer number (33816873216).

Almost surely, 21123035541140 is an apocalyptic number.

1123035541140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1123035541140 is an abundant number, since it is smaller than the sum of its proper divisors (2123384287596).

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

1123035541140 is a wasteful number, since it uses less digits than its factorization.

1123035541140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90229 (or 90227 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 1123035541140 in words is "one trillion, one hundred twenty-three billion, thirty-five million, five hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 7283 14566 21849 29132 36415 43698 72830 82903 87396 109245 145660 165806 218490 225773 248709 331612 414515 436980 451546 497418 677319 829030 903092 994836 1128865 1243545 1354638 1658060 2257730 2487090 2569993 2709276 3386595 4515460 4974180 5139986 6773190 7709979 10279972 12849965 13546380 15419958 25699930 30839916 38549895 51399860 77099790 154199580 603782549 1207565098 1811347647 2415130196 3018912745 3622695294 6037825490 7245390588 9056738235 12075650980 18113476470 18717259019 36226952940 37434518038 56151777057 74869036076 93586295095 112303554114 187172590190 224607108228 280758885285 374345180380 561517770570 1123035541140