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2130020112 = 2431122571427
BaseRepresentation
bin111111011110101…
…1000011100010000
312111110000020021210
41332331120130100
513330241120422
6551205420120
7103532605113
oct17675303420
95443006253
102130020112
119a3382700
124b540a640
1327c39c03c
14162c6257a
15c6ee710c
hex7ef58710

2130020112 has 120 divisors (see below), whose sum is σ = 6076048608. Its totient is φ = 642498560.

The previous prime is 2130020059. The next prime is 2130020147. The reversal of 2130020112 is 2110200312.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1491943 + ... + 1493369.

Almost surely, 22130020112 is an apocalyptic number.

2130020112 is a gapful number since it is divisible by the number (22) 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 2130020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038024304).

2130020112 is an abundant number, since it is smaller than the sum of its proper divisors (3946028496).

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

2130020112 is a wasteful number, since it uses less digits than its factorization.

2130020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2130020112 is about 46152.1409254219. The cubic root of 2130020112 is about 1286.6524008310.

Adding to 2130020112 its reverse (2110200312), we get a palindrome (4240220424).

The spelling of 2130020112 in words is "two billion, one hundred thirty million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 257 264 363 484 514 528 726 771 968 1028 1427 1452 1542 1936 2056 2827 2854 2904 3084 4112 4281 5654 5708 5808 6168 8481 8562 11308 11416 12336 15697 16962 17124 22616 22832 31097 31394 33924 34248 45232 47091 62194 62788 67848 68496 93291 94182 124388 125576 135696 172667 186582 188364 248776 251152 345334 366739 373164 376728 497552 518001 690668 733478 746328 753456 1036002 1100217 1381336 1466956 1492656 2072004 2200434 2762672 2933912 4034129 4144008 4400868 5867824 8068258 8288016 8801736 12102387 16136516 17603472 24204774 32273032 44375419 48409548 64546064 88750838 96819096 133126257 177501676 193638192 266252514 355003352 532505028 710006704 1065010056 2130020112