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1031034300432 = 243175217193373
BaseRepresentation
bin11110000000011100110…
…11101110100000010000
310122120021112221020022120
433000032123232200100
5113343024240103212
62105352311134240
7134326663645023
oct17001633564020
93576245836276
101031034300432
11368293a90174
121479a3374380
13762c2a1a316
1437c8bdab1ba
151bc4609988c
hexf00e6ee810

1031034300432 has 160 divisors (see below), whose sum is σ = 2830363845120. Its totient is φ = 322296299520.

The previous prime is 1031034300409. The next prime is 1031034300469. The reversal of 1031034300432 is 2340034301301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305671098 + ... + 305674470.

It is an arithmetic number, because the mean of its divisors is an integer number (17689774032).

Almost surely, 21031034300432 is an apocalyptic number.

1031034300432 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 1031034300432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415181922560).

1031034300432 is an abundant number, since it is smaller than the sum of its proper divisors (1799329544688).

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

1031034300432 is a wasteful number, since it uses less digits than its factorization.

1031034300432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4641 (or 4635 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 1031034300432 its reverse (2340034301301), we get a palindrome (3371068601733).

The spelling of 1031034300432 in words is "one trillion, thirty-one billion, thirty-four million, three hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 521 719 816 1042 1438 1563 2084 2157 2876 3126 3373 4168 4314 5752 6252 6746 8336 8628 8857 10119 11504 12223 12504 13492 17256 17714 20238 24446 25008 26571 26984 34512 35428 36669 40476 48892 53142 53968 57341 70856 73338 80952 97784 106284 114682 141712 146676 161904 172023 195568 212568 229364 293352 344046 374599 425136 458728 586704 688092 749198 917456 1123797 1376184 1498396 1757333 2247594 2425187 2752368 2996792 3514666 4495188 4850374 5271999 5993584 6368183 7029332 7275561 8990376 9700748 10543998 12736366 14058664 14551122 17980752 19104549 19401496 21087996 25472732 28117328 29102244 29874661 38209098 38802992 41228179 42175992 50945464 58204488 59749322 76418196 82456358 84351984 89623983 101890928 116408976 119498644 123684537 152836392 164912716 179247966 238997288 247369074 305672784 329825432 358495932 477994576 494738148 659650864 716991864 989476296 1263522427 1433983728 1978952592 2527044854 3790567281 5054089708 7581134562 10108179416 15162269124 20216358832 21479881259 30324538248 42959762518 60649076496 64439643777 85919525036 128879287554 171839050072 257758575108 343678100144 515517150216 1031034300432