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1124013452340 = 2235107499935023
BaseRepresentation
bin10000010110110100011…
…011000010110000110100
310222110021102121112120110
4100112310123002300310
5121403434420433330
62220210433103020
7144131046463452
oct20266433026064
93873242545513
101124013452340
113a3767322179
12161a119b7a70
1381cbcb0467c
143c58c8059d2
151e388c4cdb0
hex105b46c2c34

1124013452340 has 96 divisors (see below), whose sum is σ = 3177377280000. Its totient is φ = 296867765376.

The previous prime is 1124013452293. The next prime is 1124013452351. The reversal of 1124013452340 is 432543104211.

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 = 1124013452298 and 1124013452307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32076069 + ... + 32111091.

It is an arithmetic number, because the mean of its divisors is an integer number (33097680000).

Almost surely, 21124013452340 is an apocalyptic number.

1124013452340 is a gapful number since it is divisible by the number (10) 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 1124013452340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588688640000).

1124013452340 is an abundant number, since it is smaller than the sum of its proper divisors (2053363827660).

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

1124013452340 is a wasteful number, since it uses less digits than its factorization.

1124013452340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40141 (or 40139 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 1124013452340 its reverse (432543104211), we get a palindrome (1556556556551).

The spelling of 1124013452340 in words is "one trillion, one hundred twenty-four billion, thirteen million, four hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 1070 1284 1605 2140 3210 4999 6420 9998 14997 19996 24995 29994 35023 49990 59988 70046 74985 99980 105069 140092 149970 175115 210138 299940 350230 420276 525345 534893 700460 1050690 1069786 1604679 2101380 2139572 2674465 3209358 3747461 5348930 6418716 7494922 8023395 10697860 11242383 14989844 16046790 18737305 22484766 32093580 37474610 44969532 56211915 74949220 112423830 175079977 224847660 350159954 525239931 700319908 875399885 1050479862 1750799770 2100959724 2626199655 3501599540 5252399310 10504798620 18733557539 37467115078 56200672617 74934230156 93667787695 112401345234 187335575390 224802690468 281003363085 374671150780 562006726170 1124013452340