Search a number
-
+
2122121101302 = 234891374992153
BaseRepresentation
bin11110111000011000010…
…001100011111111110110
321111212120021020120110000
4132320120101203333312
5234232101000220202
64302520004012130
7306214065511206
oct36703021437766
97455507216400
102122121101302
11748a94046794
122a3346091046
13125166017067
14749d57b6406
153a3042b791c
hex1ee18463ff6

2122121101302 has 160 divisors (see below), whose sum is σ = 4855611420000. Its totient is φ = 692607117312.

The previous prime is 2122121101241. The next prime is 2122121101327. The reversal of 2122121101302 is 2031011212212.

2122121101302 is a `hidden beast` number, since 21 + 221 + 21 + 101 + 302 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 985656658 + ... + 985658810.

It is an arithmetic number, because the mean of its divisors is an integer number (30347571375).

Almost surely, 22122121101302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122121101302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427805710000).

2122121101302 is an abundant number, since it is smaller than the sum of its proper divisors (2733490318698).

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

2122121101302 is a wasteful number, since it uses less digits than its factorization.

2122121101302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 2883 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2122121101302 its reverse (2031011212212), we get a palindrome (4153132313514).

The spelling of 2122121101302 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred one thousand, three hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 89 137 162 178 267 274 411 499 534 801 822 998 1233 1497 1602 2153 2403 2466 2994 3699 4306 4491 4806 6459 7209 7398 8982 11097 12193 12918 13473 14418 19377 22194 24386 26946 36579 38754 40419 44411 58131 68363 73158 80838 88822 109737 116262 133233 136726 174393 191617 205089 219474 266466 294961 329211 348786 383234 399699 410178 574851 589922 615267 658422 799398 884883 987633 1074347 1149702 1199097 1230534 1724553 1769766 1845801 1975266 2148694 2398194 2654649 3223041 3449106 3597291 3691602 5173659 5309298 5537403 6084307 6446082 7194582 7963947 9669123 10347318 11074806 12168614 15520977 15927894 18252921 19338246 23891841 26251529 29007369 31041954 36505842 47783682 52503058 54758763 58014738 78754587 87022107 95616883 109517526 147185539 157509174 164276289 174044214 191233766 236263761 286850649 294371078 328552578 441556617 472527522 492828867 573701298 708791283 860551947 883113234 985657734 1324669851 1417582566 1721103894 2126373849 2581655841 2649339702 3974009553 4252747698 5163311682 7744967523 7948019106 11922028659 13099512971 15489935046 23844057318 26199025942 39298538913 78597077826 117895616739 235791233478 353686850217 707373700434 1061060550651 2122121101302