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1012211002000 = 245311232000417
BaseRepresentation
bin11101011101011000111…
…10100010101010010000
310120202200201120121011101
432232230132202222100
5113041002004031000
62053000414354144
7133062350361652
oct16565436425220
93522621517141
101012211002000
113603047a4490
1214420b4bb954
13745b306a303
1436dc40ac6d2
151b4e37b5e6a
hexebac7a2a90

1012211002000 has 160 divisors (see below), whose sum is σ = 2786118177024. Its totient is φ = 352073216000.

The previous prime is 1012211001983. The next prime is 1012211002013. The reversal of 1012211002000 is 2001122101.

1012211002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10122110020002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 494209 + ... + 1506208.

Almost surely, 21012211002000 is an apocalyptic number.

1012211002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012211002000 is an abundant number, since it is smaller than the sum of its proper divisors (1773907175024).

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

1012211002000 is a wasteful number, since it uses less digits than its factorization.

1012211002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000474 (or 2000458 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1012211002000 its reverse (2001122101), we get a palindrome (1014212124101).

The spelling of 1012211002000 in words is "one trillion, twelve billion, two hundred eleven million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 25 40 44 46 50 55 80 88 92 100 110 115 125 176 184 200 220 230 250 253 275 368 400 440 460 500 506 550 575 880 920 1000 1012 1100 1150 1265 1375 1840 2000 2024 2200 2300 2530 2750 2875 4048 4400 4600 5060 5500 5750 6325 9200 10120 11000 11500 12650 20240 22000 23000 25300 31625 46000 50600 63250 101200 126500 253000 506000 2000417 4000834 8001668 10002085 16003336 20004170 22004587 32006672 40008340 44009174 46009591 50010425 80016680 88018348 92019182 100020850 110022935 160033360 176036696 184038364 200041700 220045870 230047955 250052125 352073392 368076728 400083400 440091740 460095910 500104250 506105501 550114675 736153456 800166800 880183480 920191820 1000208500 1012211002 1100229350 1150239775 1760366960 1840383640 2000417000 2024422004 2200458700 2300479550 2530527505 2750573375 3680767280 4000834000 4048844008 4400917400 4600959100 5061055010 5501146750 5751198875 8097688016 8801834800 9201918200 10122110020 11002293500 11502397750 12652637525 18403836400 20244220040 22004587000 23004795500 25305275050 40488440080 44009174000 46009591000 50610550100 63263187625 92019182000 101221100200 126526375250 202442200400 253052750500 506105501000 1012211002000