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2210200021000 = 235323329993163
BaseRepresentation
bin100000001010011010001…
…011111110100000001000
321211021220122021021211001
4200022122023332200020
5242202442201133000
64411204000544344
7315452550126436
oct40123213764010
97737818237731
102210200021000
11782382323804
122b84276220b4
13130561b3471a
1478d8d4bdd56
153c75bb7046a
hex2029a2fe808

2210200021000 has 128 divisors (see below), whose sum is σ = 5197439520000. Its totient is φ = 879713932800.

The previous prime is 2210200020979. The next prime is 2210200021009. The reversal of 2210200021000 is 1200020122.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2210200021009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 698765419 + ... + 698768581.

It is an arithmetic number, because the mean of its divisors is an integer number (40604996250).

Almost surely, 22210200021000 is an apocalyptic number.

2210200021000 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 2210200021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598719760000).

2210200021000 is an abundant number, since it is smaller than the sum of its proper divisors (2987239499000).

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

2210200021000 is a wasteful number, since it uses less digits than its factorization.

2210200021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6416 (or 6402 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2210200021000 its reverse (1200020122), we get a palindrome (2211400041122).

The spelling of 2210200021000 in words is "two trillion, two hundred ten billion, two hundred million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 233 250 466 500 932 1000 1165 1864 2330 2999 3163 4660 5825 5998 6326 9320 11650 11996 12652 14995 15815 23300 23992 25304 29125 29990 31630 46600 58250 59980 63260 74975 79075 116500 119960 126520 149950 158150 233000 299900 316300 374875 395375 599800 632600 698767 736979 749750 790750 1397534 1473958 1499500 1581500 2795068 2947916 2999000 3163000 3493835 3684895 5590136 5895832 6987670 7369790 9485837 13975340 14739580 17469175 18424475 18971674 27950680 29479160 34938350 36848950 37943348 47429185 69876700 73697900 75886696 87345875 92122375 94858370 139753400 147395800 174691750 184244750 189716740 237145925 349383500 368489500 379433480 474291850 698767000 736979000 948583700 1185729625 1897167400 2210200021 2371459250 4420400042 4742918500 8840800084 9485837000 11051000105 17681600168 22102000210 44204000420 55255000525 88408000840 110510001050 221020002100 276275002625 442040004200 552550005250 1105100010500 2210200021000