Search a number
-
+
2121002213120 = 2857792996443
BaseRepresentation
bin11110110111010101100…
…101010101111100000000
321111202200021212011101222
4132313111211111330000
5234222303031304440
64302212554214212
7306144261226430
oct36672545257400
97452607764358
102121002213120
1174856a50050a
122a3093424368
1312501828204b
147492ad5c2c0
153a28ae502b5
hex1edd5955f00

2121002213120 has 144 divisors (see below), whose sum is σ = 5879742274560. Its totient is φ = 717995446272.

The previous prime is 2121002213107. The next prime is 2121002213137. The reversal of 2121002213120 is 213122001212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 790382 + ... + 2206061.

Almost surely, 22121002213120 is an apocalyptic number.

2121002213120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121002213120 is an abundant number, since it is smaller than the sum of its proper divisors (3758740061440).

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

2121002213120 is an equidigital number, since it uses as much as digits as its factorization.

2121002213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996550 (or 2996536 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 2121002213120 its reverse (213122001212), we get a palindrome (2334124214332).

The spelling of 2121002213120 in words is "two trillion, one hundred twenty-one billion, two million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 79 80 112 128 140 158 160 224 256 280 316 320 395 448 553 560 632 640 790 896 1106 1120 1264 1280 1580 1792 2212 2240 2528 2765 3160 4424 4480 5056 5530 6320 8848 8960 10112 11060 12640 17696 20224 22120 25280 35392 44240 50560 70784 88480 101120 141568 176960 353920 707840 2996443 5992886 11985772 14982215 20975101 23971544 29964430 41950202 47943088 59928860 83900404 95886176 104875505 119857720 167800808 191772352 209751010 236718997 239715440 335601616 383544704 419502020 473437994 479430880 671203232 767089408 839004040 946875988 958861760 1183594985 1342406464 1657032979 1678008080 1893751976 1917723520 2367189970 2684812928 3314065958 3356016160 3787503952 3835447040 4734379940 5369625856 6628131916 6712032320 7575007904 8285164895 9468759880 13256263832 13424064640 15150015808 16570329790 18937519760 26512527664 26848129280 30300031616 33140659580 37875039520 53025055328 60600063232 66281319160 75750079040 106050110656 132562638320 151500158080 212100221312 265125276640 303000316160 424200442624 530250553280 1060501106560 2121002213120