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2013200032032 = 253271758741831
BaseRepresentation
bin11101010010111100000…
…100101010000100100000
321010110102101000221210100
4131102330010222010200
5230441013202011112
64140503515302400
7265306654632330
oct35227404520440
97113371027710
102013200032032
1170687aa30272
1228620874aa00
13117ac8201b07
146d621a090c0
153757bc932dc
hex1d4bc12a120

2013200032032 has 144 divisors (see below), whose sum is σ = 6927776698752. Its totient is φ = 541364705280.

The previous prime is 2013200032013. The next prime is 2013200032061. The reversal of 2013200032032 is 2302300023102.

It is a happy number.

2013200032032 is a `hidden beast` number, since 20 + 1 + 320 + 0 + 0 + 320 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 2013200031996 and 2013200032014.

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, 29336644 + ... + 29405187.

It is an arithmetic number, because the mean of its divisors is an integer number (48109560408).

Almost surely, 22013200032032 is an apocalyptic number.

It is an amenable number.

2013200032032 is an abundant number, since it is smaller than the sum of its proper divisors (4914576666720).

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

2013200032032 is a wasteful number, since it uses less digits than its factorization.

2013200032032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58741871 (or 58741860 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2013200032032 its reverse (2302300023102), we get a palindrome (4315500055134).

The spelling of 2013200032032 in words is "two trillion, thirteen billion, two hundred million, thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 672 714 816 952 1008 1071 1224 1428 1632 1904 2016 2142 2448 2856 3808 4284 4896 5712 8568 11424 17136 34272 58741831 117483662 176225493 234967324 352450986 411192817 469934648 528676479 704901972 822385634 939869296 998611127 1057352958 1233578451 1409803944 1644771268 1879738592 1997222254 2114705916 2467156902 2819607888 2995833381 3289542536 3700735353 3994444508 4229411832 4934313804 5639215776 5991666762 6579085072 6990277889 7401470706 7988889016 8458823664 8987500143 9868627608 11983333524 13158170144 13980555778 14802941412 15977778032 16917647328 17975000286 19737255216 20970833667 23966667048 27961111556 29605882824 31955556064 35950000572 39474510432 41941667334 47933334096 55922223112 59211765648 62912501001 71900001144 83883334668 95866668192 111844446224 118423531296 125825002002 143800002288 167766669336 223688892448 251650004004 287600004576 335533338672 503300008008 671066677344 1006600016016 2013200032032