Search a number
-
+
2123002113330 = 235723571769781
BaseRepresentation
bin11110111001001100110…
…010010110110100110010
321111221211200000121202010
4132321030302112310302
5234240402020111310
64303143235103350
7306244654134330
oct36711462266462
97457750017663
102123002113330
117493a638a0aa
122a3551141b56
131252766c2b57
1474a7a7ccb50
153a3567e3320
hex1ee4cc96d32

2123002113330 has 128 divisors (see below), whose sum is σ = 6086918762496. Its totient is φ = 463345977600.

The previous prime is 2123002113269. The next prime is 2123002113347. The reversal of 2123002113330 is 333112003212.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2123002113297 and 2123002113306.

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, 2373040 + ... + 3142820.

It is an arithmetic number, because the mean of its divisors is an integer number (47554052832).

Almost surely, 22123002113330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123002113330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3043459381248).

2123002113330 is an abundant number, since it is smaller than the sum of its proper divisors (3963916649166).

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

2123002113330 is a wasteful number, since it uses less digits than its factorization.

2123002113330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770392.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 2123002113330 its reverse (333112003212), we get a palindrome (2456114116542).

The spelling of 2123002113330 in words is "two trillion, one hundred twenty-three billion, two million, one hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 210 230 322 345 483 571 690 805 966 1142 1610 1713 2415 2855 3426 3997 4830 5710 7994 8565 11991 13133 17130 19985 23982 26266 39399 39970 59955 65665 78798 91931 119910 131330 183862 196995 275793 393990 459655 551586 769781 919310 1378965 1539562 2309343 2757930 3848905 4618686 5388467 7697810 10776934 11546715 16165401 17704963 23093430 26942335 32330802 35409926 53114889 53884670 80827005 88524815 106229778 123934741 161654010 177049630 247869482 265574445 371804223 439544951 531148890 619673705 743608446 879089902 1239347410 1318634853 1859021115 2197724755 2637269706 3076814657 3718042230 4395449510 6153629314 6593174265 9230443971 10109533873 13186348530 15384073285 18460887942 20219067746 30328601619 30768146570 46152219855 50547669365 60657203238 70766737111 92304439710 101095338730 141533474222 151643008095 212300211333 303286016190 353833685555 424600422666 707667371110 1061501056665 2123002113330