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2000121032 = 2371319236287
BaseRepresentation
bin111011100110111…
…0110110011001000
312011101120200020202
41313031312303020
513044012333112
6530245311332
7100364514440
oct16715666310
95141520222
102000121032
1193701a598
12479a05548
1325b4ba490
1414d8cb120
15ba8d86c2
hex77376cc8

2000121032 has 128 divisors (see below), whose sum is σ = 5070643200. Its totient is φ = 716905728.

The previous prime is 2000121031. The next prime is 2000121073. The reversal of 2000121032 is 2301210002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2000121031) 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, 314993 + ... + 321279.

It is an arithmetic number, because the mean of its divisors is an integer number (39614400).

Almost surely, 22000121032 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 2000121032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535321600).

2000121032 is an abundant number, since it is smaller than the sum of its proper divisors (3070522168).

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

2000121032 is a wasteful number, since it uses less digits than its factorization.

2000121032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6355 (or 6351 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2000121032 is about 44722.7127084214. The cubic root of 2000121032 is about 1259.9464645096.

Adding to 2000121032 its reverse (2301210002), we get a palindrome (4301331034).

The spelling of 2000121032 in words is "two billion, one hundred twenty-one thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 19 23 26 28 38 46 52 56 76 91 92 104 133 152 161 182 184 247 266 299 322 364 437 494 532 598 644 728 874 988 1064 1196 1288 1729 1748 1976 2093 2392 3059 3458 3496 4186 5681 6118 6287 6916 8372 11362 12236 12574 13832 16744 22724 24472 25148 39767 44009 45448 50296 79534 81731 88018 119453 144601 159068 163462 176036 238906 289202 318136 326924 352072 477812 572117 578404 653848 836171 955624 1012207 1144234 1156808 1552889 1672342 1879813 2024414 2288468 2747419 3105778 3344684 3759626 4048828 4576936 5494838 6211556 6689368 7519252 8097656 10870223 10989676 12423112 13158691 15038504 19231933 21740446 21979352 26317382 35716447 38463866 43480892 52634764 71432894 76927732 86961784 105269528 142865788 153855464 250015129 285731576 500030258 1000060516 2000121032