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101334101220 = 223351117059613
BaseRepresentation
bin101111001011111111…
…0111010110011100100
3100200120010222201002000
41132113332322303210
53130013012214340
6114315141245300
710215103435302
oct1362776726344
9320503881060
10101334101220
1139a805050a0
1217780703830
13972c027351
144c942db272
152981413d30
hex1797fbace4

101334101220 has 96 divisors (see below), whose sum is σ = 343921818240. Its totient is φ = 24565841280.

The previous prime is 101334101191. The next prime is 101334101221. The reversal of 101334101220 is 22101433101.

101334101220 is a `hidden beast` number, since 1 + 0 + 1 + 33 + 410 + 1 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 101334101193 and 101334101202.

It is not an unprimeable number, because it can be changed into a prime (101334101221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8523867 + ... + 8535746.

It is an arithmetic number, because the mean of its divisors is an integer number (3582518940).

Almost surely, 2101334101220 is an apocalyptic number.

101334101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101334101220 is an abundant number, since it is smaller than the sum of its proper divisors (242587717020).

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

101334101220 is a wasteful number, since it uses less digits than its factorization.

101334101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17059642 (or 17059634 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101334101220 its reverse (22101433101), we get a palindrome (123435534321).

The spelling of 101334101220 in words is "one hundred one billion, three hundred thirty-four million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 17059613 34119226 51178839 68238452 85298065 102357678 153536517 170596130 187655743 204715356 255894195 307073034 341192260 375311486 460609551 511788390 562967229 614146068 750622972 767682585 921219102 938278715 1023576780 1125934458 1535365170 1688901687 1842438204 1876557430 2251868916 2303047755 2814836145 3070730340 3377803374 3753114860 4606095510 5066705061 5629672290 6755606748 8444508435 9212191020 10133410122 11259344580 16889016870 20266820244 25333525305 33778033740 50667050610 101334101220