Search a number
-
+
103323212100 = 2232521011136669
BaseRepresentation
bin110000000111010001…
…0110001100101000100
3100212200202212000020100
41200032202301211010
53143101220241400
6115244355004100
710315305545343
oct1401642614504
9325622760210
10103323212100
113a901294589
1218036899630
13998815b234
14500255db5a
152a4ad75100
hex180e8b1944

103323212100 has 108 divisors (see below), whose sum is σ = 327067699140. Its totient is φ = 27280032000.

The previous prime is 103323212081. The next prime is 103323212141. The reversal of 103323212100 is 1212323301.

103323212100 is a `hidden beast` number, since 1 + 0 + 332 + 321 + 2 + 10 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 158911236 + 103164300864 = 12606^2 + 321192^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 477435 + ... + 659234.

Almost surely, 2103323212100 is an apocalyptic number.

103323212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103323212100 is an abundant number, since it is smaller than the sum of its proper divisors (223744487040).

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

103323212100 is a wasteful number, since it uses less digits than its factorization.

103323212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136790 (or 1136780 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103323212100 its reverse (1212323301), we get a palindrome (104535535401).

The spelling of 103323212100 in words is "one hundred three billion, three hundred twenty-three million, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 101 150 180 202 225 300 303 404 450 505 606 900 909 1010 1212 1515 1818 2020 2525 3030 3636 4545 5050 6060 7575 9090 10100 15150 18180 22725 30300 45450 90900 1136669 2273338 3410007 4546676 5683345 6820014 10230021 11366690 13640028 17050035 20460042 22733380 28416725 34100070 40920084 51150105 56833450 68200140 85250175 102300210 113666900 114803569 170500350 204600420 229607138 255750525 341000700 344410707 459214276 511501050 574017845 688821414 1023002100 1033232121 1148035690 1377642828 1722053535 2066464242 2296071380 2870089225 3444107070 4132928484 5166160605 5740178450 6888214140 8610267675 10332321210 11480356900 17220535350 20664642420 25830803025 34441070700 51661606050 103323212100