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1234312002020 = 225192838923143
BaseRepresentation
bin10001111101100010101…
…110100111100111100100
311100222222022210102010002
4101331202232213213210
5130210332333031040
62343011325520432
7155114254623236
oct21754256474744
94328868712102
101234312002020
11436517a46059
1217b274713118
138c51a112196
1443a53502256
1522192169a15
hex11f62ba79e4

1234312002020 has 144 divisors (see below), whose sum is σ = 2799848177280. Its totient is φ = 456891950592.

The previous prime is 1234312001959. The next prime is 1234312002023. The reversal of 1234312002020 is 202002134321.

It is a super-2 number, since 2×12343120020202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1234312001983 and 1234312002001.

It is not an unprimeable number, because it can be changed into a prime (1234312002023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53322569 + ... + 53345711.

It is an arithmetic number, because the mean of its divisors is an integer number (19443390120).

Almost surely, 21234312002020 is an apocalyptic number.

1234312002020 is a gapful number since it is divisible by the number (10) 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 1234312002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399924088640).

1234312002020 is an abundant number, since it is smaller than the sum of its proper divisors (1565536175260).

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

1234312002020 is a wasteful number, since it uses less digits than its factorization.

1234312002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23362 (or 23341 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1234312002020 its reverse (202002134321), we get a palindrome (1436314136341).

The spelling of 1234312002020 in words is "one trillion, two hundred thirty-four billion, three hundred twelve million, two thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 83 89 95 166 178 190 332 356 361 380 415 445 722 830 890 1444 1577 1660 1691 1780 1805 3154 3382 3610 6308 6764 7220 7387 7885 8455 14774 15770 16910 23143 29548 29963 31540 32129 33820 36935 46286 59926 64258 73870 92572 115715 119852 128516 140353 147740 149815 160645 231430 280706 299630 321290 439717 462860 561412 599260 642580 701765 879434 1403530 1758868 1920869 2059727 2198585 2666707 2807060 3841738 4119454 4397170 5333414 7683476 8238908 8354623 8794340 9604345 10298635 10666828 13333535 16709246 19208690 20597270 26667070 33418492 36496511 38417380 39134813 41194540 41773115 53334140 72993022 78269626 83546230 145986044 156539252 167092460 170957341 182482555 195674065 341914682 364965110 391348130 683829364 693433709 729930220 743561447 782696260 854786705 1386867418 1487122894 1709573410 2773734836 2974245788 3248189479 3419146820 3467168545 3717807235 6496378958 6934337090 7435614470 12992757916 13868674180 14871228940 16240947395 32481894790 61715600101 64963789580 123431200202 246862400404 308578000505 617156001010 1234312002020