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100220012552 = 2311171013531879
BaseRepresentation
bin101110101010110010…
…1000000100000001000
3100120200111122010201202
41131111211000200020
53120222310400202
6114012422403332
710145355023342
oct1352545004010
9316614563652
10100220012552
1139559647860
121750b590548
1395b2282a9a
144bca372292
1529186e8802
hex1755940808

100220012552 has 128 divisors (see below), whose sum is σ = 219941049600. Its totient is φ = 42307584000.

The previous prime is 100220012537. The next prime is 100220012597. The reversal of 100220012552 is 255210022001.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 53335949 + ... + 53337827.

It is an arithmetic number, because the mean of its divisors is an integer number (1718289450).

Almost surely, 2100220012552 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 100220012552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109970524800).

100220012552 is an abundant number, since it is smaller than the sum of its proper divisors (119721037048).

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

100220012552 is a wasteful number, since it uses less digits than its factorization.

100220012552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 100220012552 its reverse (255210022001), we get a palindrome (355430034553).

The spelling of 100220012552 in words is "one hundred billion, two hundred twenty million, twelve thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 101 136 187 202 353 374 404 706 748 808 1111 1412 1496 1717 1879 2222 2824 3434 3758 3883 4444 6001 6868 7516 7766 8888 12002 13736 15032 15532 18887 20669 24004 31064 31943 35653 37774 41338 48008 63886 66011 71306 75548 82676 127772 132022 142612 151096 165352 189779 255544 264044 285224 351373 379558 392183 528088 606101 663287 702746 759116 784366 1212202 1326574 1405492 1518232 1568732 2087569 2424404 2653148 2810984 3137464 3226243 4175138 4848808 5306296 6452486 6667111 7296157 8350276 11275879 12904972 13334222 14592314 16700552 22551758 25809944 26668444 29184628 35488673 45103516 53336888 58369256 66991987 70977346 90207032 124034669 133983974 141954692 248069338 267967948 283909384 496138676 535935896 736911857 992277352 1138863779 1473823714 2277727558 2947647428 4555455116 5895294856 9110910232 12527501569 25055003138 50110006276 100220012552