Search a number
-
+
103213310100000 = 25355344044367
BaseRepresentation
bin10111011101111100111000…
…101011110100001000100000
3111112110002121001011121220220
4113131330320223310020200
5102012021324341200000
61003303312354003040
730511626020264532
oct2735747053641040
9445402531147826
10103213310100000
112a9835788711a1
12b6ab520876480
134578c8668ca19
141b6b79d7d7852
15bdec35c411a0
hex5ddf38af4220

103213310100000 has 144 divisors (see below), whose sum is σ = 338646999954816. Its totient is φ = 27523549280000.

The previous prime is 103213310099981. The next prime is 103213310100011. The reversal of 103213310100000 is 1013312301.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171722184 + ... + 172322183.

It is an arithmetic number, because the mean of its divisors is an integer number (2351715277464).

Almost surely, 2103213310100000 is an apocalyptic number.

103213310100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103213310100000 is an abundant number, since it is smaller than the sum of its proper divisors (235433689854816).

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

103213310100000 is an frugal number, since it uses more digits than its factorization.

103213310100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344044405 (or 344044377 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 103213310100000 its reverse (1013312301), we get a palindrome (103214323412301).

The spelling of 103213310100000 in words is "one hundred three trillion, two hundred thirteen billion, three hundred ten million, one hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37500 50000 60000 75000 100000 150000 300000 344044367 688088734 1032133101 1376177468 1720221835 2064266202 2752354936 3440443670 4128532404 5160665505 5504709872 6880887340 8257064808 8601109175 10321331010 11009419744 13761774680 16514129616 17202218350 20642662020 25803327525 27523549360 33028259232 34404436700 41285324040 43005545875 51606655050 55047098720 68808873400 82570648080 86011091750 103213310100 129016637625 137617746800 165141296160 172022183500 206426620200 215027729375 258033275250 275235493600 344044367000 412853240400 430055458750 516066550500 645083188125 688088734000 825706480800 860110917500 1032133101000 1075138646875 1290166376250 1376177468000 1720221835000 2064266202000 2150277293750 2580332752500 3225415940625 3440443670000 4128532404000 4300554587500 5160665505000 6450831881250 6880887340000 8601109175000 10321331010000 12901663762500 17202218350000 20642662020000 25803327525000 34404436700000 51606655050000 103213310100000