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10020011202 = 235671272423
BaseRepresentation
bin10010101010011110…
…10011110011000010
3221212022102022100000
421111033103303002
5131010110324302
64334135340430
7503206455435
oct112517236302
927768368300
1010020011202
1142820427a3
121b37821716
13c38ba5a16
146b0a9181c
153d9a1231c
hex2553d3cc2

10020011202 has 96 divisors (see below), whose sum is σ = 23039557632. Its totient is φ = 3262899024.

The previous prime is 10020011201. The next prime is 10020011233. The reversal of 10020011202 is 20211002001.

10020011202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10020011201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4134163 + ... + 4136585.

It is an arithmetic number, because the mean of its divisors is an integer number (239995392).

Almost surely, 210020011202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020011202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11519778816).

10020011202 is an abundant number, since it is smaller than the sum of its proper divisors (13019546430).

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

10020011202 is a wasteful number, since it uses less digits than its factorization.

10020011202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10020011202 its reverse (20211002001), we get a palindrome (30231013203).

The spelling of 10020011202 in words is "ten billion, twenty million, eleven thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 67 81 127 134 162 201 243 254 381 402 486 603 762 1143 1206 1809 2286 2423 3429 3618 4846 5427 6858 7269 8509 10287 10854 14538 16281 17018 20574 21807 25527 30861 32562 43614 51054 61722 65421 76581 130842 153162 162341 196263 229743 307721 324682 392526 459486 487023 588789 615442 689229 923163 974046 1177578 1378458 1461069 1846326 2067687 2769489 2922138 4135374 4383207 5538978 8308467 8766414 13149621 16616934 20617307 24925401 26299242 39448863 41234614 49850802 61851921 74776203 78897726 123703842 149552406 185555763 371111526 556667289 1113334578 1670001867 3340003734 5010005601 10020011202