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2420213114000 = 2453111021107747
BaseRepresentation
bin100011001101111111111…
…100010110010010010000
322120100222210221210122202
4203031333330112102100
5304123044024122000
65051455222222332
7336566065016423
oct43157774262220
98510883853582
102420213114000
11853452231980
123310785849a8
131472c07766a6
14851d33719ba
1542e4e1dbdd5
hex2337ff16490

2420213114000 has 160 divisors (see below), whose sum is σ = 6390394238592. Its totient is φ = 879207360000.

The previous prime is 2420213113933. The next prime is 2420213114047. The reversal of 2420213114000 is 4113120242.

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

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, 22408127 + ... + 22515873.

Almost surely, 22420213114000 is an apocalyptic number.

2420213114000 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 2420213114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195197119296).

2420213114000 is an abundant number, since it is smaller than the sum of its proper divisors (3970181124592).

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

2420213114000 is a wasteful number, since it uses less digits than its factorization.

2420213114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108802 (or 108786 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2420213114000 its reverse (4113120242), we get a palindrome (2424326234242).

The spelling of 2420213114000 in words is "two trillion, four hundred twenty billion, two hundred thirteen million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1021 1100 1375 2000 2042 2200 2750 4084 4400 5105 5500 8168 10210 11000 11231 16336 20420 22000 22462 25525 40840 44924 51050 56155 81680 89848 102100 107747 112310 127625 179696 204200 215494 224620 255250 280775 408400 430988 449240 510500 538735 561550 861976 898480 1021000 1077470 1123100 1185217 1403875 1723952 2042000 2154940 2246200 2370434 2693675 2807750 4309880 4492400 4740868 5387350 5615500 5926085 8619760 9481736 10774700 11231000 11852170 13468375 18963472 21549400 22462000 23704340 26936750 29630425 43098800 47408680 53873500 59260850 94817360 107747000 110009687 118521700 148152125 215494000 220019374 237043400 296304250 440038748 474086800 550048435 592608500 880077496 1100096870 1185217000 1210106557 1760154992 2200193740 2370434000 2420213114 2750242175 4400387480 4840426228 5500484350 6050532785 8800774960 9680852456 11000968700 12101065570 13751210875 19361704912 22001937400 24202131140 27502421750 30252663925 44003874800 48404262280 55004843500 60505327850 96808524560 110009687000 121010655700 151263319625 220019374000 242021311400 302526639250 484042622800 605053278500 1210106557000 2420213114000