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10643140220100 = 2235242185379871
BaseRepresentation
bin1001101011100000110010…
…0101111001010011000100
31101200110210202000112222020
42122320030211321103010
52343334122344020400
634345220252003140
72145640636123623
oct232701445712304
941613722015866
1010643140220100
113433804208483
12123a8661604b0
135c284a60608b
1428b1b8a476ba
15136cbc2d82a0
hex9ae0c9794c4

10643140220100 has 144 divisors (see below), whose sum is σ = 30874040768256. Its totient is φ = 2830810752000.

The previous prime is 10643140220093. The next prime is 10643140220161. The reversal of 10643140220100 is 102204134601.

It is a super-2 number, since 2×106431402201002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1078218165 + ... + 1078228035.

Almost surely, 210643140220100 is an apocalyptic number.

10643140220100 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 10643140220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15437020384128).

10643140220100 is an abundant number, since it is smaller than the sum of its proper divisors (20230900548156).

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

10643140220100 is a wasteful number, since it uses less digits than its factorization.

10643140220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18846 (or 18839 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10643140220100 its reverse (102204134601), we get a palindrome (10745344354701).

The spelling of 10643140220100 in words is "ten trillion, six hundred forty-three billion, one hundred forty million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 421 842 1263 1684 2105 2526 4210 5052 6315 8420 8537 9871 10525 12630 17074 19742 21050 25260 25611 29613 31575 34148 39484 42100 42685 49355 51222 59226 63150 85370 98710 102444 118452 126300 128055 148065 170740 197420 213425 246775 256110 296130 426850 493550 512220 592260 640275 740325 853700 987100 1280550 1480650 2561100 2961300 3594077 4155691 7188154 8311382 10782231 12467073 14376308 16622764 17970385 20778455 21564462 24934146 35940770 41556910 43128924 49868292 53911155 62335365 71881540 83113820 84268727 89851925 103892275 107822310 124670730 168537454 179703850 207784550 215644620 249341460 252806181 269555775 311676825 337074908 359407700 415569100 421343635 505612362 539111550 623353650 842687270 1011224724 1078223100 1246707300 1264030905 1685374540 2106718175 2528061810 4213436350 5056123620 6320154525 8426872700 12640309050 25280618100 35477134067 70954268134 106431402201 141908536268 177385670335 212862804402 354771340670 425725608804 532157011005 709542681340 886928351675 1064314022010 1773856703350 2128628044020 2660785055025 3547713406700 5321570110050 10643140220100