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21203213432240 = 24572315231080901
BaseRepresentation
bin1001101001000110000100…
…00000010011010110110000
32210002000012101210212222002
410310203002000103112300
510234343140114312430
6113032342145433132
74315611252321020
oct464430200232660
983060171725862
1021203213432240
116835261241354
1224653a933b7a8
13baa5ba561128
14534353469a80
1526b826c24845
hex1348c20135b0

21203213432240 has 160 divisors (see below), whose sum is σ = 58828186469376. Its totient is φ = 6949028275200.

The previous prime is 21203213432237. The next prime is 21203213432249. The reversal of 21203213432240 is 4223431230212.

It is a super-2 number, since 2×212032134322402 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21203213432249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19075790 + ... + 20156690.

Almost surely, 221203213432240 is an apocalyptic number.

21203213432240 is a gapful number since it is divisible by the number (20) 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 21203213432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29414093234688).

21203213432240 is an abundant number, since it is smaller than the sum of its proper divisors (37624973037136).

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

21203213432240 is a wasteful number, since it uses less digits than its factorization.

21203213432240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082467 (or 1082461 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 21203213432240 its reverse (4223431230212), we get a palindrome (25426644662452).

The spelling of 21203213432240 in words is "twenty-one trillion, two hundred three billion, two hundred thirteen million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 368 460 560 644 805 920 1288 1523 1610 1840 2576 3046 3220 6092 6440 7615 10661 12184 12880 15230 21322 24368 30460 35029 42644 53305 60920 70058 85288 106610 121840 140116 170576 175145 213220 245203 280232 350290 426440 490406 560464 700580 852880 980812 1080901 1226015 1401160 1961624 2161802 2452030 2802320 3923248 4323604 4904060 5404505 7566307 8647208 9808120 10809010 15132614 17294416 19616240 21618020 24860723 30265228 37831535 43236040 49721446 60530456 75663070 86472080 99442892 121060912 124303615 151326140 174025061 198885784 248607230 302652280 348050122 397771568 497214460 605304560 696100244 870125305 994428920 1392200488 1646212223 1740250610 1988857840 2784400976 3292424446 3480501220 6584848892 6961002440 8231061115 11523485561 13169697784 13922004880 16462122230 23046971122 26339395568 32924244460 37862881129 46093942244 57617427805 65848488920 75725762258 92187884488 115234855610 131696977840 151451524516 184375768976 189314405645 230469711220 265040167903 302903049032 378628811290 460939422440 530080335806 605806098064 757257622580 921878844880 1060160671612 1325200839515 1514515245160 2120321343224 2650401679030 3029030490320 4240642686448 5300803358060 10601606716120 21203213432240