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2031145410 = 2357192322133
BaseRepresentation
bin111100100010000…
…1101000111000010
312020112221212200210
41321010031013002
513124433123120
6533314254550
7101222310510
oct17104150702
95215855623
102031145410
1195258a678
12488287456
13264a607b8
14153a854b0
15bd4b5ce0
hex7910d1c2

2031145410 has 128 divisors (see below), whose sum is σ = 6119608320. Its totient is φ = 420685056.

The previous prime is 2031145393. The next prime is 2031145469. The reversal of 2031145410 is 145411302.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80704 + ... + 102836.

It is an arithmetic number, because the mean of its divisors is an integer number (47809440).

Almost surely, 22031145410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2031145410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059804160).

2031145410 is an abundant number, since it is smaller than the sum of its proper divisors (4088462910).

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

2031145410 is a wasteful number, since it uses less digits than its factorization.

2031145410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22192.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2031145410 is about 45068.2306064926. The cubic root of 2031145410 is about 1266.4275177166.

Adding to 2031145410 its reverse (145411302), we get a palindrome (2176556712).

The spelling of 2031145410 in words is "two billion, thirty-one million, one hundred forty-five thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 23 30 35 38 42 46 57 69 70 95 105 114 115 133 138 161 190 210 230 266 285 322 345 399 437 483 570 665 690 798 805 874 966 1311 1330 1610 1995 2185 2415 2622 3059 3990 4370 4830 6118 6555 9177 13110 15295 18354 22133 30590 44266 45885 66399 91770 110665 132798 154931 221330 309862 331995 420527 464793 509059 663990 774655 841054 929586 1018118 1261581 1527177 1549310 2102635 2323965 2523162 2545295 2943689 3054354 3563413 4205270 4647930 5090590 5887378 6307905 7126826 7635885 8831067 9672121 10690239 12615810 14718445 15271770 17662134 17817065 19344242 21380478 29016363 29436890 35634130 44155335 48360605 53451195 58032726 67704847 88310670 96721210 106902390 135409694 145081815 203114541 290163630 338524235 406229082 677048470 1015572705 2031145410