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201423324102 = 2371113127264071
BaseRepresentation
bin1011101110010111000…
…1000000001111000110
3201020220112112001002220
42323211301000033012
511300003332332402
6232311012513210
720360313001650
oct2734561001706
9636815461086
10201423324102
1178472240710
123305431b806
1315cc01760a0
149a6b1456d0
15538d3c4dbc
hex2ee5c403c6

201423324102 has 128 divisors (see below), whose sum is σ = 545146011648. Its totient is φ = 47912860800.

The previous prime is 201423324097. The next prime is 201423324103.

It is a happy number.

201423324102 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201423324103) 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, 630727 + ... + 894797.

It is an arithmetic number, because the mean of its divisors is an integer number (4258953216).

Almost surely, 2201423324102 is an apocalyptic number.

201423324102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201423324102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272573005824).

201423324102 is an abundant number, since it is smaller than the sum of its proper divisors (343722687546).

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

201423324102 is a wasteful number, since it uses less digits than its factorization.

201423324102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264234.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 201423 and 324102, that added together give a palindrome (525525).

The spelling of 201423324102 in words is "two hundred one billion, four hundred twenty-three million, three hundred twenty-four thousand, one hundred two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 127 143 154 182 231 254 273 286 381 429 462 546 762 858 889 1001 1397 1651 1778 2002 2667 2794 3003 3302 4191 4953 5334 6006 8382 9779 9906 11557 18161 19558 23114 29337 34671 36322 54483 58674 69342 108966 127127 254254 264071 381381 528142 762762 792213 1584426 1848497 2904781 3432923 3696994 5545491 5809562 6865846 8714343 10298769 11090982 17428686 20333467 20597538 24030461 33537017 37762153 40666934 48060922 61000401 67074034 72091383 75524306 100611051 113286459 122000802 144182766 201222102 226572918 234759119 264335071 368907187 435981221 469518238 528670142 704277357 737814374 793005213 871962442 1106721561 1307943663 1408554714 1586010426 2213443122 2582350309 2615887326 3051868547 4795793431 5164700618 6103737094 7747050927 9155605641 9591586862 14387380293 15494101854 18311211282 28774760586 33570554017 67141108034 100711662051 201423324102