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1023434201232 = 243323891157333
BaseRepresentation
bin11101110010010010110…
…11101001100010010000
310121211122220000012012000
432321021123221202100
5113231443123414412
62102054214434000
7133640440114302
oct16711133514220
93554586005160
101023434201232
11365043a20153
12146422062900
13756812b25c1
143776a87d972
151b94dc434dc
hexee496e9890

1023434201232 has 160 divisors (see below), whose sum is σ = 3099803385600. Its totient is φ = 322645644288.

The previous prime is 1023434201219. The next prime is 1023434201281. The reversal of 1023434201232 is 2321024343201.

1023434201232 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 4 + 3 + 420 + 1 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1023434201196 and 1023434201205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305638 + ... + 1462970.

It is an arithmetic number, because the mean of its divisors is an integer number (19373771160).

Almost surely, 21023434201232 is an apocalyptic number.

1023434201232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023434201232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549901692800).

1023434201232 is an abundant number, since it is smaller than the sum of its proper divisors (2076369184368).

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

1023434201232 is a wasteful number, since it uses less digits than its factorization.

1023434201232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157462 (or 1157450 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1023434201232 its reverse (2321024343201), we get a palindrome (3344458544433).

The spelling of 1023434201232 in words is "one trillion, twenty-three billion, four hundred thirty-four million, two hundred one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 89 92 108 138 144 178 184 207 216 267 276 356 368 414 432 534 552 621 712 801 828 1068 1104 1242 1424 1602 1656 2047 2136 2403 2484 3204 3312 4094 4272 4806 4968 6141 6408 8188 9612 9936 12282 12816 16376 18423 19224 24564 32752 36846 38448 49128 55269 73692 98256 110538 147384 221076 294768 442152 884304 1157333 2314666 3471999 4629332 6943998 9258664 10415997 13887996 18517328 20831994 26618659 27775992 31247991 41663988 53237318 55551984 62495982 79855977 83327976 103002637 106474636 124991964 159711954 166655952 206005274 212949272 239567931 249983928 309007911 319423908 412010548 425898544 479135862 499967856 618015822 638847816 718703793 824021096 927023733 958271724 1236031644 1277695632 1437407586 1648042192 1854047466 1916543448 2369060651 2472063288 2781071199 2874815172 3708094932 3833086896 4738121302 4944126576 5562142398 5749630344 7107181953 7416189864 9476242604 11124284796 11499260688 14214363906 14832379728 18952485208 21321545859 22248569592 28428727812 37904970416 42643091718 44497139184 56857455624 63964637577 85286183436 113714911248 127929275154 170572366872 255858550308 341144733744 511717100616 1023434201232