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2210102021000 = 235319617188527
BaseRepresentation
bin100000001010010100010…
…110001000101110001000
321211021122210212101002102
4200022110112020232020
5242202242104133000
64411150140252532
7315450250134236
oct40122426105610
97737583771072
102210102021000
11782331a78975
122b83ba841148
13130547741363
1478d8048d956
153c7532633d5
hex20294588b88

2210102021000 has 128 divisors (see below), whose sum is σ = 5452682227200. Its totient is φ = 836150515200.

The previous prime is 2210102020999. The next prime is 2210102021003. The reversal of 2210102021000 is 1202010122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2210102021003) 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, 11628737 + ... + 11817263.

It is an arithmetic number, because the mean of its divisors is an integer number (42599079900).

Almost surely, 22210102021000 is an apocalyptic number.

2210102021000 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 2210102021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726341113600).

2210102021000 is an abundant number, since it is smaller than the sum of its proper divisors (3242580206200).

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

2210102021000 is a wasteful number, since it uses less digits than its factorization.

2210102021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189184 (or 189170 counting only the distinct ones).

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

Adding to 2210102021000 its reverse (1202010122), we get a palindrome (2211304031122).

The spelling of 2210102021000 in words is "two trillion, two hundred ten billion, one hundred two million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 617 760 950 1000 1234 1900 2375 2468 3085 3800 4750 4936 6170 9500 11723 12340 15425 19000 23446 24680 30850 46892 58615 61700 77125 93784 117230 123400 154250 188527 234460 293075 308500 377054 468920 586150 617000 754108 942635 1172300 1465375 1508216 1885270 2344600 2930750 3582013 3770540 4713175 5861500 7164026 7541080 9426350 11723000 14328052 17910065 18852700 23565875 28656104 35820130 37705400 47131750 71640260 89550325 94263500 116321159 143280520 179100650 188527000 232642318 358201300 447751625 465284636 581605795 716402600 895503250 930569272 1163211590 1791006500 2210102021 2326423180 2908028975 3582013000 4420204042 4652846360 5816057950 8840408084 11050510105 11632115900 14540144875 17680816168 22101020210 23264231800 29080289750 44202040420 55252550525 58160579500 88404080840 110505101050 116321159000 221010202100 276262752625 442020404200 552525505250 1105051010500 2210102021000