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10001012021 = 71113311013191
BaseRepresentation
bin10010101000001101…
…10101010100110101
3221210222200001100122
421110012311110311
5130440224341041
64332220221325
7502556125310
oct112406652465
927728601318
1010001012021
1142723463a0
121b3139a845
13c34c82cc0
146ac347977
153d800cc4b
hex2541b5535

10001012021 has 64 divisors (see below), whose sum is σ = 14002716672. Its totient is φ = 6890400000.

The previous prime is 10001012011. The next prime is 10001012027. The reversal of 10001012021 is 12021010001.

It is not a de Polignac number, because 10001012021 - 210 = 10001010997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001012027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3132536 + ... + 3135726.

It is an arithmetic number, because the mean of its divisors is an integer number (218792448).

Almost surely, 210001012021 is an apocalyptic number.

10001012021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001012021 is a deficient number, since it is larger than the sum of its proper divisors (4001704651).

10001012021 is a wasteful number, since it uses less digits than its factorization.

10001012021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3354.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10001012021 its reverse (12021010001), we get a palindrome (22022022022).

The spelling of 10001012021 in words is "ten billion, one million, twelve thousand, twenty-one".

Divisors: 1 7 11 13 31 77 91 101 143 217 341 403 707 1001 1111 1313 2387 2821 3131 3191 4433 7777 9191 14443 21917 22337 31031 34441 35101 40703 41483 98921 101101 241087 245707 284921 290381 322291 447733 456313 692447 1088131 1285973 2256037 3134131 3194191 3545201 4189783 7616917 9001811 9991021 14145703 24816407 29328481 46087613 69937147 99019921 109901231 129883273 322613291 769308617 909182911 1428716003 10001012021