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2221151010312 = 2331335932996011
BaseRepresentation
bin100000010100100110111…
…010101011111000001000
321212100011211111012000210
4200110212322223320020
5242342404124312222
64420214354401120
7316321123035123
oct40244672537010
97770154435023
102221151010312
11786a919270a3
122ba582b901a0
131315b885c060
147970ba733ba
153cb9d27cd0c
hex20526eabe08

2221151010312 has 128 divisors (see below), whose sum is σ = 5999495040000. Its totient is φ = 681207440640.

The previous prime is 2221151010301. The next prime is 2221151010371. The reversal of 2221151010312 is 2130101511222.

It is a super-2 number, since 2×22211510103122 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369511387 + ... + 369517397.

It is an arithmetic number, because the mean of its divisors is an integer number (46871055000).

Almost surely, 22221151010312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221151010312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999747520000).

2221151010312 is an abundant number, since it is smaller than the sum of its proper divisors (3778344029688).

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

2221151010312 is a wasteful number, since it uses less digits than its factorization.

2221151010312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9691 (or 9687 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 2221151010312 its reverse (2130101511222), we get a palindrome (4351252521534).

The spelling of 2221151010312 in words is "two trillion, two hundred twenty-one billion, one hundred fifty-one million, ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 359 718 1077 1436 2154 2872 3299 4308 4667 6011 6598 8616 9334 9897 12022 13196 14001 18033 18668 19794 24044 26392 28002 36066 37336 39588 42887 48088 56004 72132 78143 79176 85774 112008 128661 144264 156286 171548 234429 257322 312572 343096 468858 514644 625144 937716 1029288 1184341 1875432 2157949 2368682 3553023 4315898 4737364 6473847 7106046 8631796 9474728 12947694 14212092 15396433 17263592 19830289 25895388 28053337 28424184 30792866 39660578 46189299 51790776 56106674 59490867 61585732 79321156 84160011 92378598 112213348 118981734 123171464 158642312 168320022 184757196 224426696 237963468 257793757 336640044 369514392 475926936 515587514 673280088 773381271 1031175028 1546762542 2062350056 3093525084 6187050168 7119073751 14238147502 21357221253 28476295004 42714442506 56952590008 85428885012 92547958763 170857770024 185095917526 277643876289 370191835052 555287752578 740383670104 1110575505156 2221151010312