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1012432041300 = 2235229137849427
BaseRepresentation
bin11101011101110011010…
…01101111010101010100
310120210021010111120002010
432232321221233111110
5113041430100310200
62053034352144220
7133101003234261
oct16567151572524
93523233446063
101012432041300
11360408547599
12144271538070
1374619aacab4
14370055aa268
151b507dc9150
hexebb9a6f554

1012432041300 has 144 divisors (see below), whose sum is σ = 3052436506560. Its totient is φ = 258769136640.

The previous prime is 1012432041289. The next prime is 1012432041359. The reversal of 1012432041300 is 31402342101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 767187 + ... + 1616613.

It is an arithmetic number, because the mean of its divisors is an integer number (21197475740).

Almost surely, 21012432041300 is an apocalyptic number.

1012432041300 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 1012432041300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526218253280).

1012432041300 is an abundant number, since it is smaller than the sum of its proper divisors (2040004465260).

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

1012432041300 is a wasteful number, since it uses less digits than its factorization.

1012432041300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849610 (or 849603 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1012432041300 its reverse (31402342101), we get a palindrome (1043834383401).

The spelling of 1012432041300 in words is "one trillion, twelve billion, four hundred thirty-two million, forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 137 145 150 174 274 290 300 348 411 435 548 580 685 725 822 870 1370 1450 1644 1740 2055 2175 2740 2900 3425 3973 4110 4350 6850 7946 8220 8700 10275 11919 13700 15892 19865 20550 23838 39730 41100 47676 59595 79460 99325 119190 198650 238380 297975 397300 595950 849427 1191900 1698854 2548281 3397708 4247135 5096562 8494270 10193124 12741405 16988540 21235675 24633383 25482810 42471350 49266766 50965620 63707025 73900149 84942700 98533532 116371499 123166915 127414050 147800298 232742998 246333830 254828100 295600596 349114497 369500745 465485996 492667660 581857495 615834575 698228994 739001490 1163714990 1231669150 1396457988 1478002980 1745572485 1847503725 2327429980 2463338300 2909287475 3374773471 3491144970 3695007450 5818574950 6749546942 6982289940 7390014900 8727862425 10124320413 11637149900 13499093884 16873867355 17455724850 20248640826 33747734710 34911449700 40497281652 50621602065 67495469420 84369336775 101243204130 168738673550 202486408260 253108010325 337477347100 506216020650 1012432041300