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21332033134300 = 225271283128918427
BaseRepresentation
bin1001101100110110000000…
…10000011101111011011100
32210112022201001210210012101
410312123000100131323130
510244001000440244200
6113211444543014444
74331121444605350
oct466330020357334
983468631723171
1021332033134300
116884956641139
12248635a89a424
13bb97a9a4c0c5
1453a693c93460
1526ed6614026a
hex1366c041dedc

21332033134300 has 144 divisors (see below), whose sum is σ = 52988626010880. Its totient is φ = 7302073443840.

The previous prime is 21332033134297. The next prime is 21332033134387. The reversal of 21332033134300 is 343133023312.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1157641687 + ... + 1157660113.

It is an arithmetic number, because the mean of its divisors is an integer number (367976569520).

Almost surely, 221332033134300 is an apocalyptic number.

21332033134300 is a gapful number since it is divisible by the number (20) 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 21332033134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26494313005440).

21332033134300 is an abundant number, since it is smaller than the sum of its proper divisors (31656592876580).

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

21332033134300 is a wasteful number, since it uses less digits than its factorization.

21332033134300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21020 (or 21013 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 21332033134300 its reverse (343133023312), we get a palindrome (21675166157612).

The spelling of 21332033134300 in words is "twenty-one trillion, three hundred thirty-two billion, thirty-three million, one hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1283 1289 2566 2578 5132 5156 6415 6445 8981 9023 12830 12890 17962 18046 18427 25660 25780 32075 32225 35924 36092 36854 44905 45115 64150 64450 73708 89810 90230 92135 128300 128900 128989 179620 180460 184270 224525 225575 257978 368540 449050 451150 460675 515956 644945 898100 902300 921350 1289890 1653787 1842700 2579780 3224725 3307574 6449450 6615148 8268935 11576509 12898900 16537870 23153018 23641841 23752403 33075740 41344675 46306036 47283682 47504806 57882545 82689350 94567364 95009612 115765090 118209205 118762015 165378700 165492887 166266821 231530180 236418410 237524030 289412725 330985774 332533642 472836820 475048060 578825450 591046025 593810075 661971548 665067284 827464435 831334105 1157650900 1182092050 1187620150 1654928870 1662668210 2364184100 2375240300 3309857740 3325336420 4137322175 4156670525 8274644350 8313341050 16549288700 16626682100 30474333049 60948666098 121897332196 152371665245 213320331343 304743330490 426640662686 609486660980 761858326225 853281325372 1066601656715 1523716652450 2133203313430 3047433304900 4266406626860 5333008283575 10666016567150 21332033134300