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21001300113222 = 232111321613775573
BaseRepresentation
bin1001100011001101111110…
…00010000111011101000110
32202100201000201021112012100
410301212333002013131012
510223041130312110342
6112355510350332530
74265202536402322
oct461467702073506
982321021245170
1021001300113222
116767668458270
122432238aba146
13b9454ca26c30
1452867b214982
1526645a810e4c
hex1319bf087746

21001300113222 has 96 divisors (see below), whose sum is σ = 53482606553376. Its totient is φ = 5871769574400.

The previous prime is 21001300113217. The next prime is 21001300113239. The reversal of 21001300113222 is 22231100310012.

21001300113222 is a `hidden beast` number, since 210 + 0 + 1 + 300 + 1 + 132 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21001300113195 and 21001300113204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3674628 + ... + 7450200.

It is an arithmetic number, because the mean of its divisors is an integer number (557110484931).

Almost surely, 221001300113222 is an apocalyptic number.

21001300113222 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 21001300113222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26741303276688).

21001300113222 is an abundant number, since it is smaller than the sum of its proper divisors (32481306440154).

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

21001300113222 is a wasteful number, since it uses less digits than its factorization.

21001300113222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3777766 (or 3777763 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21001300113222 its reverse (22231100310012), we get a palindrome (43232400423234).

The spelling of 21001300113222 in words is "twenty-one trillion, one billion, three hundred million, one hundred thirteen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2161 2574 4322 6483 12966 19449 23771 28093 38898 47542 56186 71313 84279 142626 168558 213939 252837 309023 427878 505674 618046 927069 1854138 2781207 3775573 5562414 7551146 11326719 22653438 33980157 41531303 49082449 67960314 83062606 98164898 124593909 147247347 249187818 294494694 373781727 441742041 539906939 747563454 883484082 1079813878 1619720817 3239441634 4859162451 8159013253 9718324902 16318026506 24477039759 48954079518 73431119277 89749145783 106067172289 146862238554 179498291566 212134344578 269247437349 318201516867 538494874698 636403033734 807742312047 954604550601 1166738895179 1615484624094 1909209101202 2333477790358 3500216685537 7000433371074 10500650056611 21001300113222