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2210112002000 = 24537819119273
BaseRepresentation
bin100000001010010100111…
…100001101011111010000
321211021200111122110110002
4200022110330031133100
5242202302133031000
64411151134225132
7315450431024330
oct40122474153720
97737614573402
102210112002000
11782337675831
122b84020551a8
13130549827386
1478d8192b0c0
153c7540858d5
hex20294f0d7d0

2210112002000 has 160 divisors (see below), whose sum is σ = 6108549218304. Its totient is φ = 757620864000.

The previous prime is 2210112001997. The next prime is 2210112002011. The reversal of 2210112002000 is 2002110122.

It is a happy number.

It is a super-2 number, since 2×22101120020002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 114664364 + ... + 114683636.

Almost surely, 22210112002000 is an apocalyptic number.

2210112002000 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 2210112002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3054274609152).

2210112002000 is an abundant number, since it is smaller than the sum of its proper divisors (3898437216304).

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

2210112002000 is a wasteful number, since it uses less digits than its factorization.

2210112002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27494 (or 27478 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2210112002000 its reverse (2002110122), we get a palindrome (2212114112122).

The spelling of 2210112002000 in words is "two trillion, two hundred ten billion, one hundred twelve million, 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 3500 7000 8191 14000 16382 19273 32764 38546 40955 57337 65528 77092 81910 96365 114674 131056 134911 154184 163820 192730 204775 229348 269822 286685 308368 327640 385460 409550 458696 481825 539644 573370 655280 674555 770920 819100 917392 963650 1023875 1079288 1146740 1349110 1433425 1541840 1638200 1927300 2047750 2158576 2293480 2409125 2698220 2866850 3276400 3372775 3854600 4095500 4586960 4818250 5396440 5733700 6745550 7167125 7709200 8191000 9636500 10792880 11467400 13491100 14334250 16382000 16863875 19273000 22934800 26982200 28668500 33727750 38546000 53964400 57337000 67455500 114674000 134911000 157865143 269822000 315730286 631460572 789325715 1105056001 1262921144 1578651430 2210112002 2525842288 3157302860 3946628575 4420224004 5525280005 6314605720 7893257150 8840448008 11050560010 12629211440 15786514300 17680896016 19733142875 22101120020 27626400025 31573028600 39466285750 44202240040 55252800050 63146057200 78932571500 88404480080 110505600100 138132000125 157865143000 221011200200 276264000250 315730286000 442022400400 552528000500 1105056001000 2210112002000