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21024341331312 = 24311791823276487
BaseRepresentation
bin1001100011111000111000…
…11001011000110101110000
32202102220111111101200101010
410301330130121120311300
510223430322340100222
6112414240555510520
74266646530462264
oct461743431306560
982386444350333
1021024341331312
11677641163a470
1224367a9458440
13b967824b81a7
145298253920a4
15266d5856380c
hex131f1c658d70

21024341331312 has 160 divisors (see below), whose sum is σ = 60033551892480. Its totient is φ = 6286893500160.

The previous prime is 21024341331277. The next prime is 21024341331359. The reversal of 21024341331312 is 21313314342012.

It is a self number, because there is not a number n which added to its sum of digits gives 21024341331312.

It is a congruent number.

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, 75902733 + ... + 76179219.

It is an arithmetic number, because the mean of its divisors is an integer number (375209699328).

Almost surely, 221024341331312 is an apocalyptic number.

21024341331312 is a gapful number since it is divisible by the number (22) 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 21024341331312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30016775946240).

21024341331312 is an abundant number, since it is smaller than the sum of its proper divisors (39009210561168).

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

21024341331312 is a wasteful number, since it uses less digits than its factorization.

21024341331312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278411 (or 278405 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 21024341331312 its reverse (21313314342012), we get a palindrome (42337655673324).

The spelling of 21024341331312 in words is "twenty-one trillion, twenty-four billion, three hundred forty-one million, three hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 79 88 132 158 176 237 264 316 474 528 632 869 948 1264 1738 1823 1896 2607 3476 3646 3792 5214 5469 6952 7292 10428 10938 13904 14584 20053 20856 21876 29168 40106 41712 43752 60159 80212 87504 120318 144017 160424 240636 276487 288034 320848 432051 481272 552974 576068 829461 864102 962544 1105948 1152136 1584187 1658922 1728204 2211896 2304272 3041357 3168374 3317844 3456408 4423792 4752561 6082714 6336748 6635688 6912816 9124071 9505122 12165428 12673496 13271376 18248142 19010244 21842473 24330856 25346992 36496284 38020488 43684946 48661712 65527419 72992568 76040976 87369892 131054838 145985136 174739784 240267203 262109676 349479568 480534406 504035801 524219352 720801609 961068812 1008071602 1048438704 1441603218 1512107403 1922137624 2016143204 2883206436 3024214806 3844275248 4032286408 5544393811 5766412872 6048429612 8064572816 11088787622 11532825744 12096859224 16633181433 22177575244 24193718448 33266362866 39818828279 44355150488 66532725732 79637656558 88710300976 119456484837 133065451464 159275313116 238912969674 266130902928 318550626232 438007111069 477825939348 637101252464 876014222138 955651878696 1314021333207 1752028444276 1911303757392 2628042666414 3504056888552 5256085332828 7008113777104 10512170665656 21024341331312