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2132031330 = 23251113212743
BaseRepresentation
bin111111100010100…
…0011011101100010
312111120210102011100
41333011003131202
513331300000310
6551320455230
7103555652532
oct17705033542
95446712140
102132031330
119a4526770
124b601a516
1327c924600
141632274c2
15c7292ec0
hex7f143762

2132031330 has 144 divisors (see below), whose sum is σ = 6548682816. Its totient is φ = 477060480.

The previous prime is 2132031281. The next prime is 2132031331. The reversal of 2132031330 is 331302312.

2132031330 is a `hidden beast` number, since 2 + 1 + 320 + 313 + 30 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2132031331) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 160939 + ... + 173681.

It is an arithmetic number, because the mean of its divisors is an integer number (45476964).

Almost surely, 22132031330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132031330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3274341408).

2132031330 is an abundant number, since it is smaller than the sum of its proper divisors (4416651486).

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

2132031330 is a wasteful number, since it uses less digits than its factorization.

2132031330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12793 (or 12777 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2132031330 is about 46173.9247844495. The cubic root of 2132031330 is about 1287.0572365117.

Adding to 2132031330 its reverse (331302312), we get a palindrome (2463333642).

It can be divided in two parts, 21320 and 31330, that added together give a triangular number (52650 = T324).

The spelling of 2132031330 in words is "two billion, one hundred thirty-two million, thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 30 33 39 45 55 65 66 78 90 99 110 117 130 143 165 169 195 198 234 286 330 338 390 429 495 507 585 715 845 858 990 1014 1170 1287 1430 1521 1690 1859 2145 2535 2574 3042 3718 4290 5070 5577 6435 7605 9295 11154 12743 12870 15210 16731 18590 25486 27885 33462 38229 55770 63715 76458 83655 114687 127430 140173 165659 167310 191145 229374 280346 331318 382290 420519 496977 573435 700865 828295 841038 993954 1146870 1261557 1401730 1490931 1656590 1822249 2102595 2153567 2484885 2523114 2981862 3644498 4205190 4307134 4969770 5466747 6307785 6460701 7454655 9111245 10767835 10933494 12615570 12921402 14909310 16400241 18222490 19382103 21535670 23689237 27333735 32303505 32800482 38764206 47378474 54667470 64607010 71067711 82001205 96910515 118446185 142135422 164002410 193821030 213203133 236892370 355338555 426406266 710677110 1066015665 2132031330