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2132101024 = 253741167263
BaseRepresentation
bin111111100010101…
…0100011110100000
312111120220221202121
41333011110132200
513331304213044
6551322154024
7103556362654
oct17705243640
95446827677
102132101024
119a4574069
124b6052914
1327c94a251
14163244a64
15c72a8984
hex7f1547a0

2132101024 has 96 divisors (see below), whose sum is σ = 4459504896. Its totient is φ = 1002055680.

The previous prime is 2132101021. The next prime is 2132101039. The reversal of 2132101024 is 4201012312.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2132100989 and 2132101007.

It is not an unprimeable number, because it can be changed into a prime (2132101021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8106717 + ... + 8106979.

It is an arithmetic number, because the mean of its divisors is an integer number (46453176).

Almost surely, 22132101024 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 2132101024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229752448).

2132101024 is an abundant number, since it is smaller than the sum of its proper divisors (2327403872).

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

2132101024 is a wasteful number, since it uses less digits than its factorization.

2132101024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2132101024 is about 46174.6794682973. The cubic root of 2132101024 is about 1287.0712605692.

Adding to 2132101024 its reverse (4201012312), we get a palindrome (6333113336).

The spelling of 2132101024 in words is "two billion, one hundred thirty-two million, one hundred one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 37 41 74 82 148 164 167 263 296 328 334 526 592 656 668 1052 1184 1312 1336 1517 2104 2672 3034 4208 5344 6068 6179 6847 8416 9731 10783 12136 12358 13694 19462 21566 24272 24716 27388 38924 43132 43921 48544 49432 54776 77848 86264 87842 98864 109552 155696 172528 175684 197728 219104 253339 311392 345056 351368 398971 506678 702736 797942 1013356 1405472 1595884 1625077 1800761 2026712 3191768 3250154 3601522 4053424 6383536 6500308 7203044 8106848 12767072 13000616 14406088 26001232 28812176 52002464 57624352 66628157 133256314 266512628 533025256 1066050512 2132101024