Search a number
-
+
20122021021000 = 2353234123833607
BaseRepresentation
bin1001001001101000001011…
…11010100100010101001000
32122020122110020112121202211
410210310011322210111020
510114134344340133000
6110443532344034504
74144524303416533
oct444640572442510
978218406477684
1020122021021000
116458779317148
12230b948162a34
13b2c6630c5502
144d7ca7b71a1a
1524d6474a27ba
hex124d05ea4548

20122021021000 has 128 divisors (see below), whose sum is σ = 47138474972160. Its totient is φ = 8039764512000.

The previous prime is 20122021020961. The next prime is 20122021021027. The reversal of 20122021021000 is 12012022102.

It is a happy number.

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, 5578601197 + ... + 5578604803.

It is an arithmetic number, because the mean of its divisors is an integer number (368269335720).

Almost surely, 220122021021000 is an apocalyptic number.

20122021021000 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 20122021021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23569237486080).

20122021021000 is an abundant number, since it is smaller than the sum of its proper divisors (27016453951160).

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

20122021021000 is a wasteful number, since it uses less digits than its factorization.

20122021021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8352 (or 8338 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20122021021000 its reverse (12012022102), we get a palindrome (20134033043102).

The spelling of 20122021021000 in words is "twenty trillion, one hundred twenty-two billion, twenty-one million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2341 2383 3607 4682 4766 7214 9364 9532 11705 11915 14428 18035 18728 19064 23410 23830 28856 36070 46820 47660 58525 59575 72140 90175 93640 95320 117050 119150 144280 180350 234100 238300 292625 297875 360700 450875 468200 476600 585250 595750 721400 901750 1170500 1191500 1803500 2341000 2383000 3607000 5578603 8443987 8595481 11157206 16887974 17190962 22314412 27893015 33775948 34381924 42219935 42977405 44628824 55786030 67551896 68763848 84439870 85954810 111572060 139465075 168879740 171909620 211099675 214887025 223144120 278930150 337759480 343819240 422199350 429774050 557860300 697325375 844398700 859548100 1055498375 1074435125 1115720600 1394650750 1688797400 1719096200 2110996750 2148870250 2789301500 4221993500 4297740500 5578603000 8443987000 8595481000 20122021021 40244042042 80488084084 100610105105 160976168168 201220210210 402440420420 503050525525 804880840840 1006101051050 2012202102100 2515252627625 4024404204200 5030505255250 10061010510500 20122021021000