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1000021131330 = 2351331115535309
BaseRepresentation
bin11101000110101011110…
…01111000000001000010
310112121020012012000012220
432203111321320001002
5112341020402200310
62043223043231510
7132151312236264
oct16432571700102
93477205160186
101000021131330
11356119949201
12141989078596
13733bc786ba0
1436589187b34
151b02d53c670
hexe8d5e78042

1000021131330 has 128 divisors (see below), whose sum is σ = 2595139223040. Its totient is φ = 245163356160.

The previous prime is 1000021131269. The next prime is 1000021131353. The reversal of 1000021131330 is 331311200001.

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

It is a Curzon number.

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, 188360716 + ... + 188366024.

It is an arithmetic number, because the mean of its divisors is an integer number (20274525180).

Almost surely, 21000021131330 is an apocalyptic number.

1000021131330 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 1000021131330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297569611520).

1000021131330 is an abundant number, since it is smaller than the sum of its proper divisors (1595118091710).

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

1000021131330 is a wasteful number, since it uses less digits than its factorization.

1000021131330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7196.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1000021131330 its reverse (331311200001), we get a palindrome (1331332331331).

The spelling of 1000021131330 in words is "one trillion, twenty-one million, one hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 311 390 622 933 1553 1555 1866 3106 3110 4043 4659 4665 5309 7765 8086 9318 9330 10618 12129 15530 15927 20189 20215 23295 24258 26545 31854 40378 40430 46590 53090 60567 60645 69017 79635 100945 121134 121290 138034 159270 201890 207051 302835 345085 414102 482983 605670 690170 965966 1035255 1448949 1651099 2070510 2414915 2897898 3302198 4829830 4953297 6278779 7244745 8244877 8255495 9906594 12557558 14489490 16489754 16510990 18836337 21464287 24734631 24766485 31393895 37672674 41224385 42928574 49469262 49532970 62787790 64392861 82448770 94181685 107183401 107321435 123673155 128785722 188363370 214366802 214642870 247346310 321550203 321964305 535917005 643100406 643928610 1071834010 1607751015 2564156747 3215502030 5128313494 7692470241 12820783735 15384940482 25641567470 33334037711 38462351205 66668075422 76924702410 100002113133 166670188555 200004226266 333340377110 500010565665 1000021131330