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113204422221400 = 23521636397542837
BaseRepresentation
bin11001101111010101110101…
…010111111001111001011000
3112211211020101211021212101101
4121233111311113321321120
5104314220124042041100
61040433221005001144
732562515054136466
oct3157256527717130
9484736354255341
10113204422221400
11330857a91244a4
1210843937b531b4
134b22192363a83
141dd51a2379836
15d14a9075386a
hex66f5755f9e58

113204422221400 has 96 divisors (see below), whose sum is σ = 264856891980240. Its totient is φ = 44996848565760.

The previous prime is 113204422221239. The next prime is 113204422221421. The reversal of 113204422221400 is 4122224402311.

It is a super-2 number, since 2×1132044222214002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208270782 + ... + 208813618.

Almost surely, 2113204422221400 is an apocalyptic number.

113204422221400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113204422221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132428445990120).

113204422221400 is an abundant number, since it is smaller than the sum of its proper divisors (151652469758840).

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

113204422221400 is a wasteful number, since it uses less digits than its factorization.

113204422221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549413 (or 549404 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 113204422221400 its reverse (4122224402311), we get a palindrome (117326646623711).

The spelling of 113204422221400 in words is "one hundred thirteen trillion, two hundred four billion, four hundred twenty-two million, two hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 163 200 326 652 815 1304 1630 3260 4075 6397 6520 8150 12794 16300 25588 31985 32600 51176 63970 127940 159925 255880 319850 542837 639700 1042711 1085674 1279400 2085422 2171348 2714185 4170844 4342696 5213555 5428370 8341688 10427110 10856740 13570925 20854220 21713480 26067775 27141850 41708440 52135550 54283700 88482431 104271100 108567400 176964862 208542200 353929724 442412155 707859448 884824310 1769648620 2212060775 3472528289 3539297240 4424121550 6945056578 8848243100 13890113156 17362641445 17696486200 27780226312 34725282890 69450565780 86813207225 138901131560 173626414450 347252828900 566022111107 694505657800 1132044222214 2264088444428 2830110555535 4528176888856 5660221111070 11320442222140 14150552777675 22640884444280 28301105555350 56602211110700 113204422221400