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232234511101020 = 2232547251109366087
BaseRepresentation
bin110100110011011101001111…
…100010011110110001011100
31010110021101212101011221010200
4310303131033202132301130
5220414412234320213040
62141531021144303500
766626250452002011
oct6463351742366134
91113241771157120
10232234511101020
1167aa71151a237a
122206872ba71b90
139c7780b108c9c
14414c2d3145708
151bcae44e76630
hexd3374f89ec5c

232234511101020 has 144 divisors (see below), whose sum is σ = 722299141444608. Its totient is φ = 60370079472000.

The previous prime is 232234511101007. The next prime is 232234511101027. The reversal of 232234511101020 is 20101115432232.

It is a happy number.

232234511101020 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 34 + 511 + 10 + 102 + 0 = 666.

It is a super-2 number, since 2×2322345111010202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232234511101027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52559584 + ... + 56806503.

It is an arithmetic number, because the mean of its divisors is an integer number (5015966260032).

Almost surely, 2232234511101020 is an apocalyptic number.

232234511101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232234511101020 is an abundant number, since it is smaller than the sum of its proper divisors (490064630343588).

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

232234511101020 is a wasteful number, since it uses less digits than its factorization.

232234511101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109366400 (or 109366395 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 232234511101020 its reverse (20101115432232), we get a palindrome (252335626533252).

The spelling of 232234511101020 in words is "two hundred thirty-two trillion, two hundred thirty-four billion, five hundred eleven million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 251 282 423 470 502 564 705 753 846 940 1004 1255 1410 1506 1692 2115 2259 2510 2820 3012 3765 4230 4518 5020 7530 8460 9036 11295 11797 15060 22590 23594 35391 45180 47188 58985 70782 106173 117970 141564 176955 212346 235940 353910 424692 530865 707820 1061730 2123460 109366087 218732174 328098261 437464348 546830435 656196522 984294783 1093660870 1312393044 1640491305 1968589566 2187321740 3280982610 3937179132 4921473915 5140206089 6561965220 9842947830 10280412178 15420618267 19685895660 20560824356 25701030445 27450887837 30841236534 46261854801 51402060890 54901775674 61682473068 77103091335 82352663511 92523709602 102804121780 109803551348 137254439185 154206182670 164705327022 185047419204 231309274005 247057990533 274508878370 308412365340 329410654044 411763317555 462618548010 494115981066 549017756740 823526635110 925237096020 988231962132 1235289952665 1290191728339 1647053270220 2470579905330 2580383456678 3870575185017 4941159810660 5160766913356 6450958641695 7741150370034 11611725555051 12901917283390 15482300740068 19352875925085 23223451110102 25803834566780 38705751850170 46446902220204 58058627775255 77411503700340 116117255550510 232234511101020