Search a number
-
+
2102223325120 = 265531131096919
BaseRepresentation
bin11110100101110110010…
…001100100011111000000
321102222012120001210220121
4132211312101210133000
5233420323132400440
64245425325350024
7304611024301012
oct36456621443700
97388176053817
102102223325120
11740603297a66
1229b512408314
131233148811b9
1473a68d001b2
1539a3c4e034a
hex1e9764647c0

2102223325120 has 112 divisors (see below), whose sum is σ = 5145511314240. Its totient is φ = 817721655296.

The previous prime is 2102223325099. The next prime is 2102223325133. The reversal of 2102223325120 is 215233222012.

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, 1368021 + ... + 2464939.

Almost surely, 22102223325120 is an apocalyptic number.

2102223325120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102223325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572755657120).

2102223325120 is an abundant number, since it is smaller than the sum of its proper divisors (3043287989120).

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

2102223325120 is a wasteful number, since it uses less digits than its factorization.

2102223325120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097102 (or 1097092 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 2102223325120 its reverse (215233222012), we get a palindrome (2317456547132).

The spelling of 2102223325120 in words is "two trillion, one hundred two billion, two hundred twenty-three million, three hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 113 160 212 226 265 320 424 452 530 565 848 904 1060 1130 1696 1808 2120 2260 3392 3616 4240 4520 5989 7232 8480 9040 11978 16960 18080 23956 29945 36160 47912 59890 95824 119780 191648 239560 383296 479120 958240 1096919 1916480 2193838 4387676 5484595 8775352 10969190 17550704 21938380 35101408 43876760 58136707 70202816 87753520 116273414 123951847 175507040 232546828 247903694 290683535 351014080 465093656 495807388 581367070 619759235 930187312 991614776 1162734140 1239518470 1860374624 1983229552 2325468280 2479036940 3720749248 3966459104 4650936560 4958073880 6569447891 7932918208 9301873120 9916147760 13138895782 18603746240 19832295520 26277791564 32847239455 39664591040 52555583128 65694478910 105111166256 131388957820 210222332512 262777915640 420444665024 525555831280 1051111662560 2102223325120