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10202010021 = 347294347307
BaseRepresentation
bin10011000000001011…
…00101000110100101
3222022222212210210000
421200011211012211
5131343203310041
64404200251513
7510546440310
oct114005450645
928288783700
1010202010021
114365850145
121b88770b99
13c677c9628
146cad09977
153ea9b2bb6
hex2601651a5

10202010021 has 160 divisors (see below), whose sum is σ = 18890403840. Its totient is φ = 5363293824.

The previous prime is 10202009977. The next prime is 10202010031. The reversal of 10202010021 is 12001020201.

It is not a de Polignac number, because 10202010021 - 29 = 10202009509 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 10202009985 and 10202010012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202010031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 33231150 + ... + 33231456.

It is an arithmetic number, because the mean of its divisors is an integer number (118065024).

Almost surely, 210202010021 is an apocalyptic number.

It is an amenable number.

10202010021 is a deficient number, since it is larger than the sum of its proper divisors (8688393819).

10202010021 is a wasteful number, since it uses less digits than its factorization.

10202010021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 436 counting only the distinct ones).

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

Adding to 10202010021 its reverse (12001020201), we get a palindrome (22203030222).

The spelling of 10202010021 in words is "ten billion, two hundred two million, ten thousand, twenty-one".

Divisors: 1 3 7 9 21 27 29 43 47 63 81 87 129 141 189 203 261 301 307 329 387 423 567 609 783 903 921 987 1161 1247 1269 1363 1827 2021 2149 2349 2709 2763 2961 3483 3741 3807 4089 5481 6063 6447 8127 8289 8729 8883 8903 9541 11223 12267 13201 14147 14429 16443 18189 19341 24381 24867 26187 26649 26709 28623 33669 36801 39603 42441 43287 54567 58023 58609 62321 78561 80127 85869 92407 101003 101007 110403 118809 127323 129861 163701 174069 175827 186963 235683 240381 257607 277221 303009 356427 381969 382829 389583 410263 418441 527481 560889 620447 707049 721143 772821 831663 909027 1069281 1145907 1148487 1168749 1230789 1255323 1582443 1682667 1861341 2494989 2679803 2727081 2929087 3445461 3692367 3765969 4343129 4747329 5048001 5584023 7484967 8039409 8181243 8787261 10336383 11077101 11297907 13029387 16752069 17992963 24118227 26361783 31009149 33231303 33893721 39088161 50256207 53978889 72354681 79085349 117264483 125950741 161936667 217064043 237256047 351793449 377852223 485810001 1133556669 1457430003 3400670007 10202010021