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2153101032 = 2332311019551
BaseRepresentation
bin1000000001010101…
…1011011011101000
312120001102212100200
42000111123123220
513402143213112
6553352232200
7104233025325
oct20025333350
95501385320
102153101032
11a05407745
1250109b660
132840c08a4
14165d4db4c
15c9055cdc
hex8055b6e8

2153101032 has 96 divisors (see below), whose sum is σ = 6079656960. Its totient is φ = 687600000.

The previous prime is 2153101009. The next prime is 2153101037. The reversal of 2153101032 is 2301013512.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2153100996 and 2153101014.

It is not an unprimeable number, because it can be changed into a prime (2153101037) 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, 220657 + ... + 230207.

It is an arithmetic number, because the mean of its divisors is an integer number (63329760).

Almost surely, 22153101032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153101032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3039828480).

2153101032 is an abundant number, since it is smaller than the sum of its proper divisors (3926555928).

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

2153101032 is a wasteful number, since it uses less digits than its factorization.

2153101032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9695 (or 9688 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2153101032 is about 46401.5197164920. The cubic root of 2153101032 is about 1291.2831076766.

Adding to 2153101032 its reverse (2301013512), we get a palindrome (4454114544).

The spelling of 2153101032 in words is "two billion, one hundred fifty-three million, one hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 101 124 186 202 248 279 303 372 404 558 606 744 808 909 1116 1212 1818 2232 2424 3131 3636 6262 7272 9393 9551 12524 18786 19102 25048 28179 28653 37572 38204 56358 57306 75144 76408 85959 112716 114612 171918 225432 229224 296081 343836 592162 687672 888243 964651 1184324 1776486 1929302 2368648 2664729 2893953 3552972 3858604 5329458 5787906 7105944 7717208 8681859 10658916 11575812 17363718 21317832 23151624 29904181 34727436 59808362 69454872 89712543 119616724 179425086 239233448 269137629 358850172 538275258 717700344 1076550516 2153101032