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212345147130 = 2354125321499
BaseRepresentation
bin1100010111000011000…
…0011100111011111010
3202022002200212010200220
43011300300130323322
511434340324202010
6241314445240510
721225052653414
oct3056060347372
9668080763626
10212345147130
1182067332a36
12351a1b63136
1317040b2b06c
14a3c58a59b4
1557cc170970
hex3170c1cefa

212345147130 has 144 divisors (see below), whose sum is σ = 532758492000. Its totient is φ = 54165762560.

The previous prime is 212345147117. The next prime is 212345147149. The reversal of 212345147130 is 31741543212.

It is a super-2 number, since 2×2123451471302 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212345147091 and 212345147100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 141657121 + ... + 141658619.

It is an arithmetic number, because the mean of its divisors is an integer number (3699711750).

Almost surely, 2212345147130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212345147130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266379246000).

212345147130 is an abundant number, since it is smaller than the sum of its proper divisors (320413344870).

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

212345147130 is a wasteful number, since it uses less digits than its factorization.

212345147130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 212345147130 in words is "two hundred twelve billion, three hundred forty-five million, one hundred forty-seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 53 82 106 123 159 205 246 265 318 410 530 615 795 1230 1499 1590 1681 2173 2809 2998 3362 4346 4497 5043 5618 6519 7495 8405 8427 8994 10086 10865 13038 14045 14990 16810 16854 21730 22485 25215 28090 32595 42135 44970 50430 61459 65190 79447 84270 89093 115169 122918 158894 178186 184377 230338 238341 267279 307295 345507 368754 397235 445465 476682 534558 575845 614590 691014 794470 890930 921885 1151690 1191705 1336395 1727535 1843770 2383410 2519819 2672790 3257327 3455070 4210691 4721929 5039638 6514654 7559457 8421382 9443858 9771981 12599095 12632073 14165787 15118914 16286635 19543962 21053455 23609645 25198190 25264146 28331574 32573270 37797285 42106910 47219290 48859905 63160365 70828935 75594570 97719810 126320730 133550407 141657870 172638331 267100814 345276662 400651221 517914993 667752035 801302442 863191655 1035829986 1335504070 1726383310 2003256105 2589574965 4006512210 5179149930 7078171571 14156343142 21234514713 35390857855 42469029426 70781715710 106172573565 212345147130