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1203134142 = 237267103593
BaseRepresentation
bin100011110110110…
…0101111010111110
310002211220112202210
41013231211322332
54431000243032
6315215201250
741546320500
oct10755457276
93084815683
101203134142
11568157541
12296b16226
13162350bc2
14b5b07d70
15709592cc
hex47b65ebe

1203134142 has 96 divisors (see below), whose sum is σ = 2873325312. Its totient is φ = 334768896.

The previous prime is 1203134111. The next prime is 1203134159. The reversal of 1203134142 is 2414313021.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 2028598 + ... + 2029190.

It is an arithmetic number, because the mean of its divisors is an integer number (29930472).

Almost surely, 21203134142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1203134142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436662656).

1203134142 is an abundant number, since it is smaller than the sum of its proper divisors (1670191170).

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

1203134142 is a wasteful number, since it uses less digits than its factorization.

1203134142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 775 counting only the distinct ones).

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

The square root of 1203134142 is about 34686.2240954532. The cubic root of 1203134142 is about 1063.5829101595.

Adding to 1203134142 its reverse (2414313021), we get a palindrome (3617447163).

The spelling of 1203134142 in words is "one billion, two hundred three million, one hundred thirty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 67 98 103 134 147 201 206 294 309 402 469 593 618 721 938 1186 1407 1442 1779 2163 2814 3283 3558 4151 4326 5047 6566 6901 8302 9849 10094 12453 13802 15141 19698 20703 24906 29057 30282 39731 41406 48307 58114 61079 79462 87171 96614 119193 122158 144921 174342 183237 238386 278117 289842 338149 366474 427553 556234 676298 834351 855106 1014447 1282659 1668702 1946819 2028894 2565318 2992871 3893638 4092293 5840457 5985742 8184586 8978613 11680914 12276879 17957226 24553758 28646051 57292102 85938153 171876306 200522357 401044714 601567071 1203134142