Search a number
-
+
1121022021020 = 2251137557247249
BaseRepresentation
bin10000010100000010000…
…111101000110110011100
310222011112221201002020212
4100110002013220312130
5121331323114133040
62214553532231552
7143663653646366
oct20240207506634
93864487632225
101121022021020
113a2471784590
1216131800b5b8
1381934130375
143c3873cdd36
151e2612ecd65
hex105021e8d9c

1121022021020 has 96 divisors (see below), whose sum is σ = 2642315256000. Its totient is φ = 395913277440.

The previous prime is 1121022021017. The next prime is 1121022021047. The reversal of 1121022021020 is 201202201211.

It is a super-2 number, since 2×11210220210202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1121022020986 and 1121022021004.

It is a congruent 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, 4410356 + ... + 4657604.

It is an arithmetic number, because the mean of its divisors is an integer number (27524117250).

Almost surely, 21121022021020 is an apocalyptic number.

1121022021020 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 1121022021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321157628000).

1121022021020 is an abundant number, since it is smaller than the sum of its proper divisors (1521293234980).

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

1121022021020 is a wasteful number, since it uses less digits than its factorization.

1121022021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247863 (or 247861 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1121022021020 its reverse (201202201211), we get a palindrome (1322224222231).

The spelling of 1121022021020 in words is "one trillion, one hundred twenty-one billion, twenty-two million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 557 740 814 1114 1628 2035 2228 2785 4070 5570 6127 8140 11140 12254 20609 24508 30635 41218 61270 82436 103045 122540 206090 226699 247249 412180 453398 494498 906796 988996 1133495 1236245 2266990 2472490 2719739 4533980 4944980 5439478 9148213 10878956 13598695 18296426 27197390 36592852 45741065 54394780 91482130 100630343 137717693 182964260 201260686 275435386 402521372 503151715 550870772 688588465 1006303430 1377176930 1514894623 2012606860 2754353860 3029789246 5095554641 6059578492 7574473115 10191109282 15148946230 20382218564 25477773205 30297892460 50955546410 56051101051 101911092820 112102202102 224204404204 280255505255 560511010510 1121022021020