Search a number
-
+
1001070501210 = 233513221938867
BaseRepresentation
bin11101001000101000111…
…00111001110101011010
310112200221022202112002000
432210110130321311122
5112400143022014320
62043515131021430
7132216313601553
oct16442434716532
93480838675060
101001070501210
1135660822233a
1214202059a876
1373528cbb700
14366486a732a
151b090721c90
hexe914739d5a

1001070501210 has 96 divisors (see below), whose sum is σ = 2890665247680. Its totient is φ = 246417342912.

The previous prime is 1001070501199. The next prime is 1001070501247. The reversal of 1001070501210 is 121050701001.

It is a happy number.

It is a super-2 number, since 2×10010705012102 (a number of 25 digits) contains 22 as substring.

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

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, 10923804 + ... + 11015063.

It is an arithmetic number, because the mean of its divisors is an integer number (30111096330).

Almost surely, 21001070501210 is an apocalyptic number.

1001070501210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001070501210 is an abundant number, since it is smaller than the sum of its proper divisors (1889594746470).

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

1001070501210 is a wasteful number, since it uses less digits than its factorization.

1001070501210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21938909 (or 21938890 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The spelling of 1001070501210 in words is "one trillion, one billion, seventy million, five hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 169 195 234 270 338 351 390 507 585 702 845 1014 1170 1521 1690 1755 2535 3042 3510 4563 5070 7605 9126 15210 22815 45630 21938867 43877734 65816601 109694335 131633202 197449803 219388670 285205271 329083005 394899606 570410542 592349409 658166010 855615813 987249015 1184698818 1426026355 1711231626 1974498030 2566847439 2852052710 2961747045 3707668523 4278079065 5133694878 5923494090 7415337046 7700542317 8556158130 11123005569 12834237195 15401084634 18538342615 22246011138 25668474390 33369016707 37076685230 38502711585 55615027845 66738033414 77005423170 100107050121 111230055690 166845083535 200214100242 333690167070 500535250605 1001070501210