Search a number
-
+
3121023220 = 22571910111617
BaseRepresentation
bin1011101000000111…
…0000100011110100
322001111202101222121
42322001300203310
522342440220340
61233410205324
7140225155030
oct27201604364
98044671877
103121023220
111361810a37
12731283844
133a97a9103
1421870b1c0
15133eec94a
hexba0708f4

3121023220 has 96 divisors (see below), whose sum is σ = 7963441920. Its totient is φ = 1003622400.

The previous prime is 3121023193. The next prime is 3121023229. The reversal of 3121023220 is 223201213.

It is a junction number, because it is equal to n+sod(n) for n = 3121023194 and 3121023203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121023229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262852 + ... + 274468.

It is an arithmetic number, because the mean of its divisors is an integer number (82952520).

Almost surely, 23121023220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3121023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3981720960).

3121023220 is an abundant number, since it is smaller than the sum of its proper divisors (4842418700).

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

3121023220 is a wasteful number, since it uses less digits than its factorization.

3121023220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11753 (or 11751 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3121023220 is about 55866.1187125077. The cubic root of 3121023220 is about 1461.3884365035.

Adding to 3121023220 its reverse (223201213), we get a palindrome (3344224433).

The spelling of 3121023220 in words is "three billion, one hundred twenty-one million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 101 133 140 190 202 266 380 404 505 532 665 707 1010 1330 1414 1919 2020 2660 2828 3535 3838 7070 7676 9595 11617 13433 14140 19190 23234 26866 38380 46468 53732 58085 67165 81319 116170 134330 162638 220723 232340 268660 325276 406595 441446 813190 882892 1103615 1173317 1545061 1626380 2207230 2346634 3090122 4414460 4693268 5866585 6180244 7725305 8213219 11733170 15450610 16426438 22293023 23466340 30901220 32852876 41066095 44586046 82132190 89172092 111465115 156051161 164264380 222930230 312102322 445860460 624204644 780255805 1560511610 3121023220