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1233012493104 = 243729411130781
BaseRepresentation
bin10001111100010101010…
…001011000101100110000
311100212121202112112000020
4101330111101120230300
5130200202144234404
62342234344523440
7155040125156430
oct21742521305460
94325552475006
101233012493104
11435a10453847
1217ab71480580
138c370b198b2
144396caac2c0
1522118024ed9
hex11f15458b30

1233012493104 has 160 divisors (see below), whose sum is σ = 3766889379840. Its totient is φ = 340047590400.

The previous prime is 1233012493091. The next prime is 1233012493129. The reversal of 1233012493104 is 4013942103321.

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, 40042194 + ... + 40072974.

It is an arithmetic number, because the mean of its divisors is an integer number (23543058624).

Almost surely, 21233012493104 is an apocalyptic number.

1233012493104 is a gapful number since it is divisible by the number (14) 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 1233012493104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883444689920).

1233012493104 is an abundant number, since it is smaller than the sum of its proper divisors (2533876886736).

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

1233012493104 is a wasteful number, since it uses less digits than its factorization.

1233012493104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34939 (or 34933 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

Adding to 1233012493104 its reverse (4013942103321), we get a palindrome (5246954596425).

The spelling of 1233012493104 in words is "one trillion, two hundred thirty-three billion, twelve million, four hundred ninety-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 609 696 812 1218 1392 1624 2436 3248 4111 4872 8222 9744 12333 16444 24666 28777 30781 32888 49332 57554 61562 65776 86331 92343 98664 115108 119219 123124 172662 184686 197328 215467 230216 238438 246248 345324 357657 369372 430934 460432 476876 492496 646401 690648 715314 738744 834533 861868 892649 953752 1292802 1381296 1430628 1477488 1669066 1723736 1785298 1907504 2503599 2585604 2677947 2861256 3338132 3447472 3570596 5007198 5171208 5355894 5722512 6248543 6676264 7141192 10014396 10342416 10711788 12497086 13352528 14282384 18745629 20028792 21423576 24994172 37491258 40057584 42847152 49988344 74982516 99976688 126540691 149965032 253081382 299930064 379622073 506162764 759244146 885784837 1012325528 1518488292 1771569674 2024651056 2657354511 3036976584 3543139348 3669680039 5314709022 6073953168 7086278696 7339360078 10629418044 11009040117 14172557392 14678720156 21258836088 22018080234 25687760273 29357440312 42517672176 44036160468 51375520546 58714880624 77063280819 88072320936 102751041092 154126561638 176144641872 205502082184 308253123276 411004164368 616506246552 1233012493104