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20421031323312 = 2433509329928151
BaseRepresentation
bin1001010010010101001000…
…10100010110011010110000
32200022020020210011210112000
410221022210110112122300
510134034233004321222
6111233143044334000
74205241123150204
oct451124424263260
980266223153460
1020421031323312
116563568896974
1223598960a4300
13b51905b83289
14508551688b04
152562e7d179ac
hex1292a45166b0

20421031323312 has 160 divisors (see below), whose sum is σ = 58750971840000. Its totient is φ = 6791336582400.

The previous prime is 20421031323221. The next prime is 20421031323359. The reversal of 20421031323312 is 21332313012402.

20421031323312 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 10 + 313 + 2 + 331 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 725396437 + ... + 725424587.

It is an arithmetic number, because the mean of its divisors is an integer number (367193574000).

Almost surely, 220421031323312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20421031323312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29375485920000).

20421031323312 is an abundant number, since it is smaller than the sum of its proper divisors (38329940516688).

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

20421031323312 is a wasteful number, since it uses less digits than its factorization.

20421031323312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31976 (or 31964 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 20421031323312 its reverse (21332313012402), we get a palindrome (41753344335714).

The spelling of 20421031323312 in words is "twenty trillion, four hundred twenty-one billion, thirty-one million, three hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 509 1018 1527 2036 3054 3299 4072 4581 6108 6598 8144 9162 9897 12216 13196 13743 18324 19794 24432 26392 27486 28151 29691 36648 39588 52784 54972 56302 59382 73296 79176 84453 89073 109944 112604 118764 158352 168906 178146 219888 225208 237528 253359 337812 356292 450416 475056 506718 675624 712584 760077 1013436 1351248 1425168 1520154 1679191 2026872 3040308 3358382 4053744 5037573 6080616 6716764 10075146 12161232 13433528 14328859 15112719 20150292 26867056 28657718 30225438 40300584 42986577 45338157 57315436 60450876 80601168 85973154 90676314 92870149 114630872 120901752 128959731 171946308 181352628 185740298 229261744 241803504 257919462 278610447 343892616 362705256 371480596 386879193 515838924 557220894 687785232 725410512 742961192 773758386 835831341 1031677848 1114441788 1485922384 1547516772 1671662682 2063355696 2228883576 2507494023 3095033544 3343325364 4457767152 5014988046 6190067088 6686650728 10029976092 13373301456 20059952184 40119904368 47270905841 94541811682 141812717523 189083623364 283625435046 378167246728 425438152569 567250870092 756334493456 850876305138 1134501740184 1276314457707 1701752610276 2269003480368 2552628915414 3403505220552 5105257830828 6807010441104 10210515661656 20421031323312