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20731203445000 = 235447101986573
BaseRepresentation
bin1001011011010110111000…
…00001000110000100001000
32201101212212012202010221211
410231223130001012010020
510204130001040220000
6112031441113342504
74236531355531156
oct455533401060410
981355765663854
1020731203445000
116673065979804
1223a9a1a107a34
13b74c372452a9
145195777563d6
1525e3ed5337ba
hex12dadc046108

20731203445000 has 160 divisors (see below), whose sum is σ = 49655937513600. Its totient is φ = 8107987232000.

The previous prime is 20731203444977. The next prime is 20731203445027. The reversal of 20731203445000 is 54430213702.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 239421714 + ... + 239508286.

It is an arithmetic number, because the mean of its divisors is an integer number (310349609460).

Almost surely, 220731203445000 is an apocalyptic number.

20731203445000 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 20731203445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24827968756800).

20731203445000 is an abundant number, since it is smaller than the sum of its proper divisors (28924734068600).

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

20731203445000 is a wasteful number, since it uses less digits than its factorization.

20731203445000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87665 (or 87646 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

Adding to 20731203445000 its reverse (54430213702), we get a palindrome (20785633658702).

The spelling of 20731203445000 in words is "twenty trillion, seven hundred thirty-one billion, two hundred three million, four hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 376 470 500 625 940 1000 1019 1175 1250 1880 2038 2350 2500 4076 4700 5000 5095 5875 8152 9400 10190 11750 20380 23500 25475 29375 40760 47000 47893 50950 58750 86573 95786 101900 117500 127375 173146 191572 203800 235000 239465 254750 346292 383144 432865 478930 509500 636875 692584 865730 957860 1019000 1197325 1273750 1731460 1915720 2164325 2394650 2547500 3462920 4068931 4328650 4789300 5095000 5986625 8137862 8657300 9578600 10821625 11973250 16275724 17314600 20344655 21643250 23946500 29933125 32551448 40689310 43286500 47893000 54108125 59866250 81378620 86573000 88217887 101723275 108216250 119732500 162757240 176435774 203446550 216432500 239465000 352871548 406893100 432865000 441089435 508616375 705743096 813786200 882178870 1017232750 1764357740 2034465500 2205447175 2543081875 3528715480 4068931000 4146240689 4410894350 5086163750 8292481378 8821788700 10172327500 11027235875 16584962756 17643577400 20344655000 20731203445 22054471750 33169925512 41462406890 44108943500 55136179375 82924813780 88217887000 103656017225 110272358750 165849627560 207312034450 220544717500 414624068900 441089435000 518280086125 829248137800 1036560172250 2073120344500 2591400430625 4146240689000 5182800861250 10365601722500 20731203445000