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2102022202000 = 24537325746099
BaseRepresentation
bin11110100101101010010…
…010010110001010010000
321102221200112121200212011
4132211222102112022100
5233414420140431000
64245353342512304
7304603032625150
oct36455222261220
97387615550764
102102022202000
1174050a808206
1229b476b95694
131232b1cc2936
1473a4a308760
1539a29a132ba
hex1e96a496290

2102022202000 has 160 divisors (see below), whose sum is σ = 5810697734400. Its totient is φ = 720456422400.

The previous prime is 2102022201959. The next prime is 2102022202037. The reversal of 2102022202000 is 2022202012.

It is a super-3 number, since 3×21020222020003 (a number of 38 digits) contains 333 as substring.

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, 45574951 + ... + 45621049.

It is an arithmetic number, because the mean of its divisors is an integer number (36316860840).

Almost surely, 22102022202000 is an apocalyptic number.

2102022202000 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 2102022202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905348867200).

2102022202000 is an abundant number, since it is smaller than the sum of its proper divisors (3708675532400).

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

2102022202000 is a wasteful number, since it uses less digits than its factorization.

2102022202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49386 (or 49370 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 2102022202000 its reverse (2022202012), we get a palindrome (2104044404012).

The spelling of 2102022202000 in words is "two trillion, one hundred two billion, twenty-two million, two hundred two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3257 3500 6514 7000 13028 14000 16285 22799 26056 32570 45598 46099 52112 65140 81425 91196 92198 113995 130280 162850 182392 184396 227990 230495 260560 322693 325700 364784 368792 407125 455980 460990 569975 645386 651400 737584 814250 911960 921980 1139950 1152475 1290772 1302800 1613465 1628500 1823920 1843960 2279900 2304950 2581544 2849875 3226930 3257000 3687920 4559800 4609900 5163088 5699750 5762375 6453860 6514000 8067325 9119600 9219800 11399500 11524750 12907720 16134650 18439600 22799000 23049500 25815440 32269300 40336625 45598000 46099000 64538600 80673250 92198000 129077200 150144443 161346500 300288886 322693000 600577772 645386000 750722215 1051011101 1201155544 1501444430 2102022202 2402311088 3002888860 3753611075 4204044404 5255055505 6005777720 7507222150 8408088808 10510111010 12011555440 15014444300 16816177616 18768055375 21020222020 26275277525 30028888600 37536110750 42040444040 52550555050 60057777200 75072221500 84080888080 105101110100 131376387625 150144443000 210202220200 262752775250 300288886000 420404440400 525505550500 1051011101000 2102022202000