Search a number
-
+
1001023433020 = 225132523566273
BaseRepresentation
bin11101001000100011010…
…01010110100100111100
310112200211001012012122201
432210101221112210330
5112400043444324040
62043510330121244
7132215202534532
oct16442151264474
93480731165581
101001023433020
113565936a4306
12142008880224
137351c31b900
1436642334152
151b08b525a9a
hexe911a5693c

1001023433020 has 72 divisors (see below), whose sum is σ = 2280648149136. Its totient is φ = 368901292032.

The previous prime is 1001023432943. The next prime is 1001023433041. The reversal of 1001023433020 is 203343201001.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1484604 + ... + 2050876.

It is an arithmetic number, because the mean of its divisors is an integer number (31675668738).

Almost surely, 21001023433020 is an apocalyptic number.

1001023433020 is a gapful number since it is divisible by the number (10) 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 1001023433020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140324074568).

1001023433020 is an abundant number, since it is smaller than the sum of its proper divisors (1279624716116).

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

1001023433020 is a wasteful number, since it uses less digits than its factorization.

1001023433020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566831 (or 566816 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 1001023433020 its reverse (203343201001), we get a palindrome (1204366634021).

The spelling of 1001023433020 in words is "one trillion, one billion, twenty-three million, four hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 523 676 845 1046 1690 2092 2615 3380 5230 6799 10460 13598 27196 33995 67990 88387 135980 176774 353548 441935 566273 883870 1132546 1767740 2265092 2831365 5662730 7361549 11325460 14723098 29446196 36807745 73615490 95700137 147230980 191400274 296160779 382800548 478500685 592321558 957001370 1184643116 1480803895 1914002740 2961607790 3850090127 5923215580 7700180254 15400360508 19250450635 38500901270 50051171651 77001802540 100102343302 200204686604 250255858255 500511716510 1001023433020