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1002112101 = 331091632089
BaseRepresentation
bin111011101110110…
…000010001100101
32120211122120101000
4323232300101211
54023020041401
6243234423513
733555545424
oct7356602145
92524576330
101002112101
11474736721
1223b731b99
1312c7c9653
149713b2bb
155ce9c186
hex3bbb0465

1002112101 has 32 divisors (see below), whose sum is σ = 1508144000. Its totient is φ = 657569664.

The previous prime is 1002112091. The next prime is 1002112103. The reversal of 1002112101 is 1012112001.

It is a happy number.

It is not a de Polignac number, because 1002112101 - 27 = 1002111973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002112103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478665 + ... + 480753.

It is an arithmetic number, because the mean of its divisors is an integer number (47129500).

Almost surely, 21002112101 is an apocalyptic number.

It is an amenable number.

1002112101 is a deficient number, since it is larger than the sum of its proper divisors (506031899).

1002112101 is a wasteful number, since it uses less digits than its factorization.

1002112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1002112101 is about 31656.1542357880. The cubic root of 1002112101 is about 1000.7035385841.

Adding to 1002112101 its reverse (1012112001), we get a palindrome (2014224102).

It can be divided in two parts, 10021 and 12101, that added together give a palindrome (22122).

The spelling of 1002112101 in words is "one billion, two million, one hundred twelve thousand, one hundred one".

Divisors: 1 3 9 27 109 163 327 489 981 1467 2089 2943 4401 6267 17767 18801 53301 56403 159903 227701 340507 479709 683103 1021521 2049309 3064563 6147927 9193689 37115263 111345789 334037367 1002112101