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1121000201010 = 2325371201280297
BaseRepresentation
bin10000010100000000110…
…100011001101100110010
310222011111102122111211100
4100110000310121230302
5121331302022413020
62214551432425230
7143663300330244
oct20240064315462
93864442574740
101121000201010
113a2460430918
12161310848216
138192c760711
143c384550094
151e25e43ca90
hex10500d19b32

1121000201010 has 96 divisors (see below), whose sum is σ = 2995876598832. Its totient is φ = 290610892800.

The previous prime is 1121000200987. The next prime is 1121000201059. The reversal of 1121000201010 is 101020001211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 194330207241 + 926669993769 = 440829^2 + 962637^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1121000200983 and 1121000201001.

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, 3859182 + ... + 4139478.

Almost surely, 21121000201010 is an apocalyptic number.

1121000201010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121000201010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497938299416).

1121000201010 is an abundant number, since it is smaller than the sum of its proper divisors (1874876397822).

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

1121000201010 is a wasteful number, since it uses less digits than its factorization.

1121000201010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281548 (or 281545 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1121000201010 its reverse (101020001211), we get a palindrome (1222020202221).

The spelling of 1121000201010 in words is "one trillion, one hundred twenty-one billion, two hundred one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1201 1665 2402 3330 3603 6005 7206 10809 12010 18015 21618 36030 44437 54045 88874 108090 133311 222185 266622 280297 399933 444370 560594 666555 799866 840891 1333110 1401485 1681782 1999665 2522673 2802970 3999330 4204455 5045346 8408910 10370989 12613365 20741978 25226730 31112967 51854945 62225934 93338901 103709890 155564835 186677802 311129670 336636697 466694505 673273394 933389010 1009910091 1683183485 2019820182 3029730273 3366366970 5049550455 6059460546 10099100910 12455557789 15148651365 24911115578 30297302730 37366673367 62277788945 74733346734 112100020101 124555577890 186833366835 224200040202 373666733670 560500100505 1121000201010