Search a number
-
+
10111012222020 = 2235735717403787
BaseRepresentation
bin1001001100100010011101…
…0010101011010001000100
31022210121021211022102202220
42103020213102223101010
52311124323112101040
633300533534132340
72062332210561333
oct223104722532104
938717254272686
1010111012222020
113249068895556
1211736b96510b0
13584606281668
1426d538921d1a
15128025d332d0
hex932274ab444

10111012222020 has 96 divisors (see below), whose sum is σ = 28703744834688. Its totient is φ = 2658862973952.

The previous prime is 10111012222013. The next prime is 10111012222049. The reversal of 10111012222020 is 2022221011101.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 24838567 + ... + 25242353.

It is an arithmetic number, because the mean of its divisors is an integer number (298997342028).

Almost surely, 210111012222020 is an apocalyptic number.

10111012222020 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 10111012222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14351872417344).

10111012222020 is an abundant number, since it is smaller than the sum of its proper divisors (18592732612668).

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

10111012222020 is a wasteful number, since it uses less digits than its factorization.

10111012222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409589 (or 409587 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10111012222020 its reverse (2022221011101), we get a palindrome (12133233233121).

It can be divided in two parts, 101110 and 12222020, that added together give a triangular number (12323130 = T4964).

The spelling of 10111012222020 in words is "ten trillion, one hundred eleven billion, twelve million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4380 5717 11434 17151 22868 28585 34302 57170 68604 85755 114340 171510 343020 403787 417341 807574 834682 1211361 1252023 1615148 1669364 2018935 2086705 2422722 2504046 4037870 4173410 4845444 5008092 6056805 6260115 8075740 8346820 12113610 12520230 24227220 25040460 29476451 58952902 88429353 117905804 147382255 176858706 294764510 353717412 442146765 589529020 884293530 1768587060 2308450279 4616900558 6925350837 9233801116 11542251395 13850701674 23084502790 27701403348 34626754185 46169005580 69253508370 138507016740 168516870367 337033740734 505550611101 674067481468 842584351835 1011101222202 1685168703670 2022202444404 2527753055505 3370337407340 5055506111010 10111012222020