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2143321400 = 2352112312857
BaseRepresentation
bin111111111000000…
…0111110100111000
312112101001000020002
41333300013310320
513342142241100
6552402452132
7104053634303
oct17760076470
95471030202
102143321400
119aa938100
124b9964048
1328207841c
14164925b3a
15c82732d5
hex7fc07d38

2143321400 has 144 divisors (see below), whose sum is σ = 5656096320. Its totient is φ = 753984000.

The previous prime is 2143321381. The next prime is 2143321417. The reversal of 2143321400 is 41233412.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 748772 + ... + 751628.

Almost surely, 22143321400 is an apocalyptic number.

2143321400 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 2143321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828048160).

2143321400 is an abundant number, since it is smaller than the sum of its proper divisors (3512774920).

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

2143321400 is a wasteful number, since it uses less digits than its factorization.

2143321400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2926 (or 2906 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2143321400 is about 46296.0192673193. The cubic root of 2143321400 is about 1289.3250881356.

Adding to 2143321400 its reverse (41233412), we get a palindrome (2184554812).

The spelling of 2143321400 in words is "two billion, one hundred forty-three million, three hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 31 40 44 50 55 62 88 100 110 121 124 155 200 220 242 248 275 310 341 440 484 550 605 620 682 775 968 1100 1210 1240 1364 1550 1705 2200 2420 2728 2857 3025 3100 3410 3751 4840 5714 6050 6200 6820 7502 8525 11428 12100 13640 14285 15004 17050 18755 22856 24200 28570 30008 31427 34100 37510 57140 62854 68200 71425 75020 88567 93775 114280 125708 142850 150040 157135 177134 187550 251416 285700 314270 345697 354268 375100 442835 571400 628540 691394 708536 750200 785675 885670 974237 1257080 1382788 1571350 1728485 1771340 1948474 2214175 2765576 3142700 3456970 3542680 3896948 4428350 4871185 6285400 6913940 7793896 8642425 8856700 9742370 10716607 13827880 17284850 17713400 19484740 21433214 24355925 34569700 38969480 42866428 48711850 53583035 69139400 85732856 97423700 107166070 194847400 214332140 267915175 428664280 535830350 1071660700 2143321400