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2121690402 = 2331329891171
BaseRepresentation
bin111111001110110…
…0110110100100010
312110212100001002000
41332131212310202
513321123043102
6550311104430
7103402033206
oct17635466442
95425301060
102121690402
11999703447
124b2672116
1327a743810
14161ad4b06
15c63ee01c
hex7e766d22

2121690402 has 128 divisors (see below), whose sum is σ = 5316192000. Its totient is φ = 622702080.

The previous prime is 2121690353. The next prime is 2121690419. The reversal of 2121690402 is 2040961212.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1811277 + ... + 1812447.

It is an arithmetic number, because the mean of its divisors is an integer number (41532750).

Almost surely, 22121690402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121690402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658096000).

2121690402 is an abundant number, since it is smaller than the sum of its proper divisors (3194501598).

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

2121690402 is a wasteful number, since it uses less digits than its factorization.

2121690402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2121690402 is about 46061.8106678407. The cubic root of 2121690402 is about 1284.9730047269.

The spelling of 2121690402 in words is "two billion, one hundred twenty-one million, six hundred ninety thousand, four hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 78 87 89 117 174 178 234 261 267 351 377 522 534 702 754 783 801 1131 1157 1171 1566 1602 2262 2314 2342 2403 2581 3393 3471 3513 4806 5162 6786 6942 7026 7743 10179 10413 10539 15223 15486 20358 20826 21078 23229 30446 31239 31617 33553 33959 45669 46458 62478 63234 67106 67918 69687 91338 100659 101877 104219 137007 139374 201318 203754 208438 274014 301977 305631 312657 411021 441467 603954 611262 625314 822042 882934 905931 916893 937971 1324401 1354847 1811862 1833786 1875942 2648802 2709694 2813913 3022351 3973203 4064541 5627826 6044702 7946406 8129082 9067053 11919609 12193623 18134106 23839218 24387246 27201159 36580869 39290563 54402318 73161738 78581126 81603477 117871689 163206954 235743378 353615067 707230134 1060845201 2121690402