Search a number
-
+
201332103011320 = 235191697156105281
BaseRepresentation
bin101101110001110001001000…
…011110110101101111111000
3222101212011100102110110100211
4231301301020132311233320
5202342111121332330240
61552110405152040504
760256523125143331
oct5561611036655770
9871764312413324
10201332103011320
1159172513484056
121a6b7615b33134
1388456c7351ab8
1437a0750a49288
15184219b54cbea
hexb71c487b5bf8

201332103011320 has 64 divisors (see below), whose sum is σ = 477120183904800. Its totient is φ = 76249311805440.

The previous prime is 201332103011287. The next prime is 201332103011393. The reversal of 201332103011320 is 23110301233102.

It is a junction number, because it is equal to n+sod(n) for n = 201332103011291 and 201332103011300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76762921 + ... + 79342360.

Almost surely, 2201332103011320 is an apocalyptic number.

201332103011320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201332103011320 is an abundant number, since it is smaller than the sum of its proper divisors (275788080893480).

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

201332103011320 is a wasteful number, since it uses less digits than its factorization.

201332103011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156107008 (or 156107004 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 201332103011320 its reverse (23110301233102), we get a palindrome (224442404244422).

The spelling of 201332103011320 in words is "two hundred one trillion, three hundred thirty-two billion, one hundred three million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 1697 3394 6788 8485 13576 16970 32243 33940 64486 67880 128972 161215 257944 322430 644860 1289720 156105281 312210562 624421124 780526405 1248842248 1561052810 2966000339 3122105620 5932000678 6244211240 11864001356 14830001695 23728002712 29660003390 59320006780 118640013560 264910661857 529821323714 1059642647428 1324553309285 2119285294856 2649106618570 5033302575283 5298213237140 10066605150566 10596426474280 20133210301132 25166512876415 40266420602264 50333025752830 100666051505660 201332103011320