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1214252130 = 2357131572833
BaseRepresentation
bin100100001100000…
…0000010001100010
310010121211101210010
41020120000101202
54441322032010
6320253345350
742042654450
oct11030002142
93117741703
101214252130
11573460663
1229a798256
131647445b0
14b739d9d0
1571903620
hex48600462

1214252130 has 128 divisors (see below), whose sum is σ = 3610833408. Its totient is φ = 254472192.

The previous prime is 1214252077. The next prime is 1214252141. The reversal of 1214252130 is 312524121.

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 = 1214252097 and 1214252106.

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, 427194 + ... + 430026.

It is an arithmetic number, because the mean of its divisors is an integer number (28209636).

Almost surely, 21214252130 is an apocalyptic number.

1214252130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214252130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805416704).

1214252130 is an abundant number, since it is smaller than the sum of its proper divisors (2396581278).

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

1214252130 is a wasteful number, since it uses less digits than its factorization.

1214252130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3020.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1214252130 is about 34846.1207310082. The cubic root of 1214252130 is about 1066.8490086497.

Adding to 1214252130 its reverse (312524121), we get a palindrome (1526776251).

The spelling of 1214252130 in words is "one billion, two hundred fourteen million, two hundred fifty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 157 182 195 210 273 314 390 455 471 546 785 910 942 1099 1365 1570 2041 2198 2355 2730 2833 3297 4082 4710 5495 5666 6123 6594 8499 10205 10990 12246 14165 14287 16485 16998 19831 20410 28330 28574 30615 32970 36829 39662 42495 42861 59493 61230 71435 73658 84990 85722 99155 110487 118986 142870 184145 198310 214305 220974 257803 297465 368290 428610 444781 515606 552435 594930 773409 889562 1104870 1289015 1334343 1546818 2223905 2578030 2668686 3113467 3867045 4447810 5782153 6226934 6671715 7734090 9340401 11564306 13343430 15567335 17346459 18680802 28910765 31134670 34692918 40475071 46702005 57821530 80950142 86732295 93404010 121425213 173464590 202375355 242850426 404750710 607126065 1214252130