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1125135005340 = 2235194872026613
BaseRepresentation
bin10000010111110111010…
…001011011011010011100
310222120011121000100001110
4100113313101123122130
5121413234030132330
62220514015542020
7144200615514333
oct20276721333234
93876147010043
101125135005340
113a4192418585
1216208552a910
138213b2905b8
143c657754d1a
151e40243edb0
hex105f745b69c

1125135005340 has 96 divisors (see below), whose sum is σ = 3322998443520. Its totient is φ = 283660828416.

The previous prime is 1125135005339. The next prime is 1125135005353. The reversal of 1125135005340 is 435005315211.

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 = 1125135005298 and 1125135005307.

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, 458127 + ... + 1568486.

It is an arithmetic number, because the mean of its divisors is an integer number (34614567120).

Almost surely, 21125135005340 is an apocalyptic number.

1125135005340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1125135005340 is an abundant number, since it is smaller than the sum of its proper divisors (2197863438180).

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

1125135005340 is a wasteful number, since it uses less digits than its factorization.

1125135005340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027131 (or 2027129 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 1125135005340 in words is "one trillion, one hundred twenty-five billion, one hundred thirty-five million, five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 487 570 974 1140 1461 1948 2435 2922 4870 5844 7305 9253 9740 14610 18506 27759 29220 37012 46265 55518 92530 111036 138795 185060 277590 555180 2026613 4053226 6079839 8106452 10133065 12159678 20266130 24319356 30399195 38505647 40532260 60798390 77011294 115516941 121596780 154022588 192528235 231033882 385056470 462067764 577584705 770112940 986960531 1155169410 1973921062 2310338820 2960881593 3947842124 4934802655 5921763186 9869605310 11843526372 14804407965 18752250089 19739210620 29608815930 37504500178 56256750267 59217631860 75009000356 93761250445 112513500534 187522500890 225027001068 281283751335 375045001780 562567502670 1125135005340