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1012434102 = 232232519743
BaseRepresentation
bin111100010110001…
…000010010110110
32121120001222111100
4330112020102312
54033140342402
6244243550530
734042355631
oct7426102266
92546058440
101012434102
1147a5467a9
1224308b446
131319a1944
1498666c18
155dd3a71c
hex3c5884b6

1012434102 has 48 divisors (see below), whose sum is σ = 2298336768. Its totient is φ = 321486000.

The previous prime is 1012434091. The next prime is 1012434103. The reversal of 1012434102 is 2014342101.

1012434102 is a `hidden beast` number, since 10 + 1 + 243 + 410 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012434103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99043 + ... + 108785.

It is an arithmetic number, because the mean of its divisors is an integer number (47882016).

Almost surely, 21012434102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012434102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149168384).

1012434102 is an abundant number, since it is smaller than the sum of its proper divisors (1285902666).

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

1012434102 is a wasteful number, since it uses less digits than its factorization.

1012434102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10025 (or 10022 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1012434102 is about 31818.7696493752. The cubic root of 1012434102 is about 1004.1276398148.

Adding to 1012434102 its reverse (2014342101), we get a palindrome (3026776203).

The spelling of 1012434102 in words is "one billion, twelve million, four hundred thirty-four thousand, one hundred two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 251 414 502 753 1506 2259 4518 5773 9743 11546 17319 19486 29229 34638 51957 58458 87687 103914 175374 224089 448178 672267 1344534 2016801 2445493 4033602 4890986 7336479 14672958 22009437 44018874 56246339 112492678 168739017 337478034 506217051 1012434102