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2132001220020 = 2235722753263411
BaseRepresentation
bin11111000001100101001…
…011001110010110110100
321112211001211102121100220
4133001211023032112310
5234412314303020040
64311232225134340
7310013656235100
oct37014513162664
97484054377326
102132001220020
117521a4120161
122a5242a8a3b0
1312607bc1c659
1475291a50900
153a6d18952d0
hex1f0652ce5b4

2132001220020 has 144 divisors (see below), whose sum is σ = 6946781341248. Its totient is φ = 487135703040.

The previous prime is 2132001220009. The next prime is 2132001220031. The reversal of 2132001220020 is 200221002312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2132001220009) and next prime (2132001220031).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7962115 + ... + 8225525.

It is an arithmetic number, because the mean of its divisors is an integer number (48241537092).

Almost surely, 22132001220020 is an apocalyptic number.

2132001220020 is a gapful number since it is divisible by the number (20) 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 2132001220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473390670624).

2132001220020 is an abundant number, since it is smaller than the sum of its proper divisors (4814780121228).

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

2132001220020 is a wasteful number, since it uses less digits than its factorization.

2132001220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266190 (or 266181 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2132001220020 its reverse (200221002312), we get a palindrome (2332222222332).

The spelling of 2132001220020 in words is "two trillion, one hundred thirty-two billion, one million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2753 2940 5506 8259 11012 13765 16518 19271 27530 33036 38542 41295 55060 57813 77084 82590 96355 115626 134897 165180 192710 231252 263411 269794 289065 385420 404691 526822 539588 578130 674485 790233 809382 1053644 1156260 1317055 1348970 1580466 1618764 1843877 2023455 2634110 2697940 3160932 3687754 3951165 4046910 5268220 5531631 7375508 7902330 8093820 9219385 11063262 12907139 15804660 18438770 22126524 25814278 27658155 36877540 38721417 51628556 55316310 64535695 77442834 110632620 129071390 154885668 193607085 258142780 387214170 725170483 774428340 1450340966 2175511449 2900681932 3625852415 4351022898 5076193381 7251704830 8702045796 10152386762 10877557245 14503409660 15228580143 20304773524 21755114490 25380966905 30457160286 35533353667 43510228980 50761933810 60914320572 71066707334 76142900715 101523867620 106600061001 142133414668 152285801430 177666768335 213200122002 304571602860 355333536670 426400244004 533000305005 710667073340 1066000610010 2132001220020