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2031090516 = 22327132921379
BaseRepresentation
bin111100100001111…
…1111101101010100
312020112212002101200
41321003333231110
513124424344031
6533313152500
7101221661460
oct17103775524
95215762350
102031090516
11952552404
1248825b730
13264a41810
14153a6d4a0
15bd4a48e6
hex790ffb54

2031090516 has 144 divisors (see below), whose sum is σ = 6537148800. Its totient is φ = 517176576.

The previous prime is 2031090511. The next prime is 2031090527. The reversal of 2031090516 is 6150901302.

It is a self number, because there is not a number n which added to its sum of digits gives 2031090516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2031090511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84315 + ... + 105693.

Almost surely, 22031090516 is an apocalyptic number.

2031090516 is a gapful number since it is divisible by the number (26) 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 2031090516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3268574400).

2031090516 is an abundant number, since it is smaller than the sum of its proper divisors (4506058284).

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

2031090516 is a wasteful number, since it uses less digits than its factorization.

2031090516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21438 (or 21433 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 2031090516 is about 45067.6215924471. The cubic root of 2031090516 is about 1266.4161087355.

Adding to 2031090516 its reverse (6150901302), we get a palindrome (8181991818).

The spelling of 2031090516 in words is "two billion, thirty-one million, ninety thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 29 36 39 42 52 58 63 78 84 87 91 116 117 126 156 174 182 203 234 252 261 273 348 364 377 406 468 522 546 609 754 812 819 1044 1092 1131 1218 1508 1638 1827 2262 2436 2639 3276 3393 3654 4524 5278 6786 7308 7917 10556 13572 15834 21379 23751 31668 42758 47502 64137 85516 95004 128274 149653 192411 256548 277927 299306 384822 448959 555854 598612 619991 769644 833781 897918 1111708 1239982 1346877 1667562 1795836 1859973 1945489 2479964 2501343 2693754 3335124 3719946 3890978 4339937 5002686 5387508 5579919 5836467 7439892 7781956 8059883 8679874 10005372 11159838 11672934 13019811 16119766 17359748 17509401 22319676 23345868 24179649 26039622 32239532 35018802 39059433 48359298 52079244 56419181 70037604 72538947 78118866 96718596 112838362 145077894 156237732 169257543 225676724 290155788 338515086 507772629 677030172 1015545258 2031090516