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10002203406 = 23313671091951
BaseRepresentation
bin10010101000010110…
…11000001100001110
3221211001220120122000
421110023120030032
5130441031002111
64332301533130
7502602216606
oct112413301416
927731816560
1010002203406
114272a8a508
121b318741a6
13c352ac370
146ac577c06
153d8195c56
hex2542d830e

10002203406 has 128 divisors (see below), whose sum is σ = 24529612800. Its totient is φ = 3002313600.

The previous prime is 10002203401. The next prime is 10002203411. The reversal of 10002203406 is 60430220001.

It is a happy number.

10002203406 is a `hidden beast` number, since 100 + 0 + 220 + 340 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (10002203401) and next prime (10002203411).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002203401) 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, 5125731 + ... + 5127681.

It is an arithmetic number, because the mean of its divisors is an integer number (191637600).

Almost surely, 210002203406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002203406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12264806400).

10002203406 is an abundant number, since it is smaller than the sum of its proper divisors (14527409394).

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

10002203406 is a wasteful number, since it uses less digits than its factorization.

10002203406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10002203406 its reverse (60430220001), we get a palindrome (70432423407).

The spelling of 10002203406 in words is "ten billion, two million, two hundred three thousand, four hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 67 78 109 117 134 201 218 234 327 351 402 603 654 702 871 981 1206 1417 1742 1809 1951 1962 2613 2834 2943 3618 3902 4251 5226 5853 5886 7303 7839 8502 11706 12753 14606 15678 17559 21909 23517 25363 25506 35118 38259 43818 47034 50726 52677 65727 76089 76518 94939 105354 130717 131454 152178 189878 197181 212659 228267 261434 284817 392151 394362 425318 456534 569634 637977 684801 784302 854451 1176453 1275954 1369602 1699321 1708902 1913931 2352906 2563353 2764567 3398642 3529359 3827862 5097963 5126706 5529134 5741793 7058718 8293701 10195926 11483586 14248153 15293889 16587402 24881103 28496306 30587778 42744459 45881667 49762206 74643309 85488918 91763334 128233377 149286618 185225989 256466754 370451978 384700131 555677967 769400262 1111355934 1667033901 3334067802 5001101703 10002203406