Search a number
-
+
1000203320130 = 235731413747343
BaseRepresentation
bin11101000111000001100…
…00110111101101000010
310112121200220000011021020
432203200300313231002
5112341404022221010
62043253112210310
7132155653642050
oct16434060675502
93477626004236
101000203320130
11356202776363
12141a1a099996
137341b446101
14365a54511d0
151b03e529470
hexe8e0c37b42

1000203320130 has 128 divisors (see below), whose sum is σ = 2900983873536. Its totient is φ = 215846899200.

The previous prime is 1000203320117. The next prime is 1000203320131. The reversal of 1000203320130 is 310233020001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1000203320131) 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 63 ways as a sum of consecutive naturals, for example, 1606762 + ... + 2140581.

It is an arithmetic number, because the mean of its divisors is an integer number (22663936512).

Almost surely, 21000203320130 is an apocalyptic number.

1000203320130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000203320130 is an abundant number, since it is smaller than the sum of its proper divisors (1900780553406).

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

1000203320130 is a wasteful number, since it uses less digits than its factorization.

1000203320130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3747432.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 1000203320130 its reverse (310233020001), we get a palindrome (1310436340131).

The spelling of 1000203320130 in words is "one trillion, two hundred three million, three hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 41 42 62 70 82 93 105 123 155 186 205 210 217 246 287 310 410 434 465 574 615 651 861 930 1085 1230 1271 1302 1435 1722 2170 2542 2870 3255 3813 4305 6355 6510 7626 8610 8897 12710 17794 19065 26691 38130 44485 53382 88970 133455 266910 3747343 7494686 11242029 18736715 22484058 26231401 37473430 52462802 56210145 78694203 112420290 116167633 131157005 153641063 157388406 232335266 262314010 307282126 348502899 393471015 460923189 580838165 697005798 768205315 786942030 813173431 921846378 1075487441 1161676330 1536410630 1626346862 1742514495 2150974882 2304615945 2439520293 3226462323 3485028990 4065867155 4609231890 4762872953 4879040586 5377437205 6452924646 8131734310 9525745906 10754874410 12197601465 14288618859 16132311615 23814364765 24395202930 28577237718 32264623230 33340110671 47628729530 66680221342 71443094295 100020332013 142886188590 166700553355 200040664026 333401106710 500101660065 1000203320130