Search a number
-
+
100202120301210 = 23543107725944507
BaseRepresentation
bin10110110010001000011111…
…110010010100101010011010
3111010210020012001022200020120
4112302020133302110222122
5101113202420244114320
6553040115114134110
730051235644305364
oct2662103762245232
9433706161280216
10100202120301210
1129a22531712024
12b2a3a13421336
1343bb033810505
141aa5b46745d34
15b8b748e6b440
hex5b221fc94a9a

100202120301210 has 64 divisors (see below), whose sum is σ = 248377557745152. Its totient is φ = 25855239525696.

The previous prime is 100202120301119. The next prime is 100202120301229. The reversal of 100202120301210 is 12103021202001.

It is a super-2 number, since 2×1002021203012102 (a number of 29 digits) contains 22 as substring.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100202120301210.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362834224 + ... + 363110283.

It is an arithmetic number, because the mean of its divisors is an integer number (3880899339768).

Almost surely, 2100202120301210 is an apocalyptic number.

100202120301210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100202120301210 is an abundant number, since it is smaller than the sum of its proper divisors (148175437443942).

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

100202120301210 is a wasteful number, since it uses less digits than its factorization.

100202120301210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725944667.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100202120301210 its reverse (12103021202001), we get a palindrome (112305141503211).

The spelling of 100202120301210 in words is "one hundred trillion, two hundred two billion, one hundred twenty million, three hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 107 129 214 215 258 321 430 535 642 645 1070 1290 1605 3210 4601 9202 13803 23005 27606 46010 69015 138030 725944507 1451889014 2177833521 3629722535 4355667042 7259445070 10889167605 21778335210 31215613801 62431227602 77676062249 93646841403 155352124498 156078069005 187293682806 233028186747 312156138010 388380311245 466056373494 468234207015 776760622490 936468414030 1165140933735 2330281867470 3340070676707 6680141353414 10020212030121 16700353383535 20040424060242 33400706767070 50101060150605 100202120301210