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1332141101130 = 235723987127941
BaseRepresentation
bin10011011000101001110…
…011000001000001001010
311201100111012111120012010
4103120221303001001022
5133311211110214010
62455551023000350
7165146461346520
oct23305163010112
94640435446163
101332141101130
11473a59a17194
121962174390b6
139880ac3b188
14486940dc310
15249ba9d4620
hex13629cc104a

1332141101130 has 128 divisors (see below), whose sum is σ = 3813259493376. Its totient is φ = 291210796800.

The previous prime is 1332141101117. The next prime is 1332141101171. The reversal of 1332141101130 is 311011412331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1332141101097 and 1332141101106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47662960 + ... + 47690900.

It is an arithmetic number, because the mean of its divisors is an integer number (29791089792).

Almost surely, 21332141101130 is an apocalyptic number.

1332141101130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332141101130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906629746688).

1332141101130 is an abundant number, since it is smaller than the sum of its proper divisors (2481118392246).

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

1332141101130 is a wasteful number, since it uses less digits than its factorization.

1332141101130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37852.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1332141101130 its reverse (311011412331), we get a palindrome (1643152513461).

The spelling of 1332141101130 in words is "one trillion, three hundred thirty-two billion, one hundred forty-one million, one hundred one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 210 230 322 345 483 690 805 966 1610 2415 4830 9871 19742 27941 29613 49355 55882 59226 69097 83823 98710 138194 139705 148065 167646 195587 207291 227033 279410 296130 345485 391174 414582 419115 454066 586761 642643 681099 690970 838230 977935 1036455 1135165 1173522 1285286 1362198 1589231 1927929 1955870 2072910 2270330 2933805 3178462 3213215 3405495 3855858 4498501 4767693 5867610 6426430 6810990 7946155 8997002 9535386 9639645 13495503 15892310 19279290 22492505 23838465 26991006 44985010 47676930 67477515 134955030 275805611 551611222 827416833 1379028055 1654833666 1930639277 2758056110 3861278554 4137084165 5791917831 6343529053 8274168330 9653196385 11583835662 12687058106 19030587159 19306392770 28959589155 31717645265 38061174318 44404703371 57919178310 63435290530 88809406742 95152935795 133214110113 190305871590 222023516855 266428220226 444047033710 666070550565 1332141101130