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1120201201100 = 2252173067214849
BaseRepresentation
bin10000010011010001001…
…100011101010111001100
310222002102202012010000002
4100103101030131113030
5121323133001413400
62214340251223432
7143634426050402
oct20232114352714
93862382163002
101120201201100
113a2090413413
12161129147b78
138183306aac7
143c30a3a5472
151e214211ed5
hex104d131d5cc

1120201201100 has 72 divisors (see below), whose sum is σ = 2574678178800. Its totient is φ = 421583339520.

The previous prime is 1120201201087. The next prime is 1120201201103. The reversal of 1120201201100 is 11021020211.

It is not an unprimeable number, because it can be changed into a prime (1120201201103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5106476 + ... + 5321324.

It is an arithmetic number, because the mean of its divisors is an integer number (35759419150).

Almost surely, 21120201201100 is an apocalyptic number.

1120201201100 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 1120201201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287339089400).

1120201201100 is an abundant number, since it is smaller than the sum of its proper divisors (1454476977700).

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

1120201201100 is a wasteful number, since it uses less digits than its factorization.

1120201201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217947 (or 217940 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1120201201100 its reverse (11021020211), we get a palindrome (1131222221311).

The spelling of 1120201201100 in words is "one trillion, one hundred twenty billion, two hundred one million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 3067 6134 12268 15335 30670 52139 61340 76675 104278 153350 208556 214849 260695 306700 429698 521390 859396 1042780 1074245 1303475 2148490 2606950 3652433 4296980 5213900 5371225 7304866 10742450 14609732 18262165 21484900 36524330 73048660 91310825 182621650 365243300 658941883 1317883766 2635767532 3294709415 6589418830 11202012011 13178837660 16473547075 22404024022 32947094150 44808048044 56010060055 65894188300 112020120110 224040240220 280050300275 560100600550 1120201201100