Search a number
-
+
1021002111220 = 225731323497773
BaseRepresentation
bin11101101101110000111…
…01111101100011110100
310121121101101121012220011
432312320131331203310
5113212003020024340
62101013014350004
7133523245516000
oct16667035754364
93547341535804
101021002111220
1136400608aa03
12145a6365b304
137538446c5a0
14375b9869700
151b85a47e0ea
hexedb877d8f4

1021002111220 has 192 divisors, whose sum is σ = 2809834675200. Its totient is φ = 309080572416.

The previous prime is 1021002111191. The next prime is 1021002111221. The reversal of 1021002111220 is 221112001201.

It is a super-2 number, since 2×10210021112202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1021002111220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021002111221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1802254 + ... + 2300026.

It is an arithmetic number, because the mean of its divisors is an integer number (14634555600).

Almost surely, 21021002111220 is an apocalyptic number.

1021002111220 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 1021002111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404917337600).

1021002111220 is an abundant number, since it is smaller than the sum of its proper divisors (1788832563980).

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

1021002111220 is a wasteful number, since it uses less digits than its factorization.

1021002111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497839 (or 497823 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1021002111220 its reverse (221112001201), we get a palindrome (1242114112421).

The spelling of 1021002111220 in words is "one trillion, twenty-one billion, two million, one hundred eleven thousand, two hundred twenty".