Search a number
-
+
1002102004232 = 237191154360719
BaseRepresentation
bin11101001010100011110…
…11110001101000001000
310112210121012201022012122
432211101323301220020
5112404301103113412
62044205335430412
7132254010331160
oct16452173615010
93483535638178
101002102004232
11356a9750287a
12142269b25408
1373661908a24
14367056955a0
151b101077572
hexe951ef1a08

1002102004232 has 64 divisors (see below), whose sum is σ = 2160038707200. Its totient is φ = 426939831360.

The previous prime is 1002102004207. The next prime is 1002102004237. The reversal of 1002102004232 is 2324002012001.

It is a self number, because there is not a number n which added to its sum of digits gives 1002102004232.

It is not an unprimeable number, because it can be changed into a prime (1002102004237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16473569 + ... + 16534287.

It is an arithmetic number, because the mean of its divisors is an integer number (33750604800).

Almost surely, 21002102004232 is an apocalyptic number.

It is an amenable number.

1002102004232 is an abundant number, since it is smaller than the sum of its proper divisors (1157936702968).

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

1002102004232 is a wasteful number, since it uses less digits than its factorization.

1002102004232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62466 (or 62462 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 1002102004232 its reverse (2324002012001), we get a palindrome (3326104016233).

The spelling of 1002102004232 in words is "one trillion, two billion, one hundred two million, four thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 191 382 764 1337 1528 1543 2674 3086 5348 6172 10696 10801 12344 21602 43204 60719 86408 121438 242876 294713 425033 485752 589426 850066 1178852 1700132 2062991 2357704 3400264 4125982 8251964 11597329 16503928 23194658 46389316 81181303 92778632 93689417 162362606 187378834 324725212 374757668 649450424 655825919 749515336 1311651838 2623303676 5246607352 17894678647 35789357294 71578714588 125262750529 143157429176 250525501058 501051002116 1002102004232