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2030110144 = 263173107131
BaseRepresentation
bin111100100000001…
…0000010111000000
312020111000021120121
41321000100113000
513124202011034
6533240150024
7101210436316
oct17100202700
95214007517
102030110144
11951a42887
12487a68314
1326478a50a
141538960b6
15bd35e1b4
hex790105c0

2030110144 has 112 divisors (see below), whose sum is σ = 4287292416. Its totient is φ = 952473600.

The previous prime is 2030110133. The next prime is 2030110153. The reversal of 2030110144 is 4410110302.

It is a super-3 number, since 3×20301101443 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15496959 + ... + 15497089.

Almost surely, 22030110144 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 2030110144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143646208).

2030110144 is an abundant number, since it is smaller than the sum of its proper divisors (2257182272).

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

2030110144 is a wasteful number, since it uses less digits than its factorization.

2030110144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2030110144 is about 45056.7436018184. The cubic root of 2030110144 is about 1266.2123169470.

Adding to 2030110144 its reverse (4410110302), we get a palindrome (6440220446).

The spelling of 2030110144 in words is "two billion, thirty million, one hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 73 107 124 131 146 214 248 262 292 428 496 524 584 856 992 1048 1168 1712 1984 2096 2263 2336 3317 3424 4061 4192 4526 4672 6634 6848 7811 8122 8384 9052 9563 13268 14017 15622 16244 18104 19126 26536 28034 31244 32488 36208 38252 53072 56068 62488 64976 72416 76504 106144 112136 124976 129952 144832 153008 212288 224272 242141 249952 259904 296453 306016 434527 448544 484282 499904 592906 612032 869054 897088 968564 1023241 1185812 1738108 1937128 2046482 2371624 3476216 3874256 4092964 4743248 6952432 7748512 8185928 9486496 13904864 15497024 16371856 18972992 27809728 31720471 32743712 63440942 65487424 126881884 253763768 507527536 1015055072 2030110144