Search a number
-
+
1020210102100 = 225275032897501
BaseRepresentation
bin11101101100010010100…
…00101011111101010100
310121112100012021222122001
432312021100223331110
5113203342241231400
62100402243045044
7133464520533340
oct16661120537524
93545305258561
101020210102100
1136373a007812
12145882370784
1375289356937
14375425c0620
151b810b84a6a
hexed8942bf54

1020210102100 has 72 divisors (see below), whose sum is σ = 2535151989888. Its totient is φ = 349090800000.

The previous prime is 1020210102071. The next prime is 1020210102101. The reversal of 1020210102100 is 12010120201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020210102101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1096651 + ... + 1800850.

It is an arithmetic number, because the mean of its divisors is an integer number (35210444304).

Almost surely, 21020210102100 is an apocalyptic number.

1020210102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020210102100 is an abundant number, since it is smaller than the sum of its proper divisors (1514941887788).

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

1020210102100 is a wasteful number, since it uses less digits than its factorization.

1020210102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898025 (or 2898018 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1020210102100 its reverse (12010120201), we get a palindrome (1032220222301).

The spelling of 1020210102100 in words is "one trillion, twenty billion, two hundred ten million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 503 700 1006 2012 2515 3521 5030 7042 10060 12575 14084 17605 25150 35210 50300 70420 88025 176050 352100 2897501 5795002 11590004 14487505 20282507 28975010 40565014 57950020 72437525 81130028 101412535 144875050 202825070 289750100 405650140 507062675 1014125350 1457443003 2028250700 2914886006 5829772012 7287215015 10202101021 14574430030 20404202042 29148860060 36436075075 40808404084 51010505105 72872150150 102021010210 145744300300 204042020420 255052525525 510105051050 1020210102100