Search a number
-
+
10100200100100 = 22352112278242427
BaseRepresentation
bin1001001011111010001011…
…0101101101000100000100
31022202120101022101201210220
42102332202311231010010
52310440202211200400
633251545020544340
72061500242215105
oct222764265550404
938676338351726
1010100200100100
11324451a710300
1211715a06b20b0
135835a2258996
1426cbd099a3ac
15127ae1a067a0
hex92fa2d6d104

10100200100100 has 108 divisors (see below), whose sum is σ = 32121418858032. Its totient is φ = 2448533348800.

The previous prime is 10100200100099. The next prime is 10100200100119. The reversal of 10100200100100 is 100100200101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 139084914 + ... + 139157513.

Almost surely, 210100200100100 is an apocalyptic number.

10100200100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100200100100 is an abundant number, since it is smaller than the sum of its proper divisors (22021218757932).

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

10100200100100 is a wasteful number, since it uses less digits than its factorization.

10100200100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278242466 (or 278242448 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10100200100100 its reverse (100100200101), we get a palindrome (10200300300201).

The spelling of 10100200100100 in words is "ten trillion, one hundred billion, two hundred million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 121 132 150 165 220 242 275 300 330 363 484 550 605 660 726 825 1100 1210 1452 1650 1815 2420 3025 3300 3630 6050 7260 9075 12100 18150 36300 278242427 556484854 834727281 1112969708 1391212135 1669454562 2782424270 3060666697 3338909124 4173636405 5564848540 6121333394 6956060675 8347272810 9182000091 12242666788 13912121350 15303333485 16694545620 18364000182 20868182025 27824242700 30606666970 33667333667 36728000364 41736364050 45910000455 61213333940 67334667334 76516667425 83472728100 91820000910 101002001001 134669334668 153033334850 168336668335 183640001820 202004002002 229550002275 306066669700 336673336670 404008004004 459100004550 505010005005 673346673340 841683341675 918200009100 1010020010010 1683366683350 2020040020020 2525050025025 3366733366700 5050100050050 10100200100100