Search a number
-
+
111020020001000 = 23531126938996451
BaseRepresentation
bin11001001111100011011100…
…110110101110100011101000
3112120002102002002010122001122
4121033203130312232203220
5104022423000110013000
61032041520524234412
732245634406464465
oct3117433466564350
9476072062118048
10111020020001000
1132413365006160
121055051009ba08
1349c41b2128626
141d5b57d19866c
15cc7d43846085
hex64f8dcdae8e8

111020020001000 has 256 divisors, whose sum is σ = 285191588448000. Its totient is φ = 40117027200000.

The previous prime is 111020020000997. The next prime is 111020020001003. The reversal of 111020020001000 is 100020020111.

It is an interprime number because it is at equal distance from previous prime (111020020000997) and next prime (111020020001003).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (111020020001003) 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, 1151002775 + ... + 1151099225.

It is an arithmetic number, because the mean of its divisors is an integer number (1114029642375).

Almost surely, 2111020020001000 is an apocalyptic number.

111020020001000 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 111020020001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142595794224000).

111020020001000 is an abundant number, since it is smaller than the sum of its proper divisors (174171568447000).

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

111020020001000 is a wasteful number, since it uses less digits than its factorization.

111020020001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97141 (or 97127 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 111020020001000 its reverse (100020020111), we get a palindrome (111120040021111).

The spelling of 111020020001000 in words is "one hundred eleven trillion, twenty billion, twenty million, one thousand".