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1012142300 = 2252131375683
BaseRepresentation
bin111100010101000…
…001000011011100
32121112112011012212
4330111001003130
54033102023200
6244233415552
734040032121
oct7425010334
92545464185
101012142300
1147a367544
12242b6a5b8
131318cbb90
14985cc748
155dcce035
hex3c5410dc

1012142300 has 72 divisors (see below), whose sum is σ = 2382982896. Its totient is φ = 370920960.

The previous prime is 1012142273. The next prime is 1012142303. The reversal of 1012142300 is 32412101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012142303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175259 + ... + 180941.

Almost surely, 21012142300 is an apocalyptic number.

1012142300 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 1012142300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191491448).

1012142300 is an abundant number, since it is smaller than the sum of its proper divisors (1370840596).

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

1012142300 is a wasteful number, since it uses less digits than its factorization.

1012142300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5847 (or 5840 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1012142300 is about 31814.1839436438. The cubic root of 1012142300 is about 1004.0311612366.

Adding to 1012142300 its reverse (32412101), we get a palindrome (1044554401).

The spelling of 1012142300 in words is "one billion, twelve million, one hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 137 260 274 325 548 650 685 1300 1370 1781 2740 3425 3562 5683 6850 7124 8905 11366 13700 17810 22732 28415 35620 44525 56830 73879 89050 113660 142075 147758 178100 284150 295516 369395 568300 738790 778571 1477580 1557142 1846975 3114284 3693950 3892855 7387900 7785710 10121423 15571420 19464275 20242846 38928550 40485692 50607115 77857100 101214230 202428460 253035575 506071150 1012142300