Search a number
-
+
100200210211010 = 25713370612971051
BaseRepresentation
bin10110110010000110101101…
…111011111010000011000010
3111010210001020221011001002002
4112302012231323322003002
5101113140012303223020
6553035201402224002
730051140421642320
oct2662065573720302
9433701227131062
10100200210211010
1129a217414a4a88
12b2a357b7b5002
1343baabab86020
141aa5a04bb2d10
15b8b686418975
hex5b21adefa0c2

100200210211010 has 64 divisors (see below), whose sum is σ = 221988068515584. Its totient is φ = 31710848544000.

The previous prime is 100200210210949. The next prime is 100200210211033. The reversal of 100200210211010 is 10112012002001.

It is a junction number, because it is equal to n+sod(n) for n = 100200210210982 and 100200210211000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32239985 + ... + 35211035.

It is an arithmetic number, because the mean of its divisors is an integer number (3468563570556).

Almost surely, 2100200210211010 is an apocalyptic number.

100200210211010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100200210211010 is an abundant number, since it is smaller than the sum of its proper divisors (121787858304574).

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

100200210211010 is a wasteful number, since it uses less digits than its factorization.

100200210211010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3008139.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100200210211010 its reverse (10112012002001), we get a palindrome (110312222213011).

The spelling of 100200210211010 in words is "one hundred trillion, two hundred billion, two hundred ten million, two hundred eleven thousand, ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 910 37061 74122 185305 259427 370610 481793 518854 963586 1297135 2408965 2594270 2971051 3372551 4817930 5942102 6745102 14855255 16862755 20797357 29710510 33725510 38623663 41594714 77247326 103986785 193118315 207973570 270365641 386236630 540731282 1351828205 2703656410 110110121111 220220242222 550550605555 770770847777 1101101211110 1431431574443 1541541695554 2862863148886 3853854238885 7157157872215 7707708477770 10020021021101 14314315744430 20040042042202 50100105105505 100200210211010