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3412121130 = 2325113793151
BaseRepresentation
bin1100101101100000…
…1101011000101010
322210210111201020200
43023120031120222
523442000334010
61322325333030
7150361360005
oct31330153052
98723451220
103412121130
1114a1065120
127b2867176
13424baacb2
1424524453c
1514e84dcc0
hexcb60d62a

3412121130 has 96 divisors (see below), whose sum is σ = 9939691008. Its totient is φ = 804816000.

The previous prime is 3412121059. The next prime is 3412121131. The reversal of 3412121130 is 311212143.

3412121130 is a `hidden beast` number, since 3 + 412 + 121 + 130 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3412121131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9946 + ... + 83205.

It is an arithmetic number, because the mean of its divisors is an integer number (103538448).

Almost surely, 23412121130 is an apocalyptic number.

3412121130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3412121130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4969845504).

3412121130 is an abundant number, since it is smaller than the sum of its proper divisors (6527569878).

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

3412121130 is a wasteful number, since it uses less digits than its factorization.

3412121130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93212 (or 93209 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3412121130 is about 58413.3643098906. The cubic root of 3412121130 is about 1505.4793865103.

Adding to 3412121130 its reverse (311212143), we get a palindrome (3723333273).

The spelling of 3412121130 in words is "three billion, four hundred twelve million, one hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 37 45 55 66 74 90 99 110 111 165 185 198 222 330 333 370 407 495 555 666 814 990 1110 1221 1665 2035 2442 3330 3663 4070 6105 7326 12210 18315 36630 93151 186302 279453 465755 558906 838359 931510 1024661 1397265 1676718 2049322 2794530 3073983 3446587 4191795 5123305 6147966 6893174 8383590 9221949 10246610 10339761 15369915 17232935 18443898 20679522 30739830 31019283 34465870 37912457 46109745 51698805 62038566 75824914 92219490 103397610 113737371 155096415 189562285 227474742 310192830 341212113 379124570 568686855 682424226 1137373710 1706060565 3412121130