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1001210222000 = 24531633071197
BaseRepresentation
bin11101001000111001100…
…01111001010110110000
310112201022001200001222002
432210130301321112300
5112400434304101000
62043541041433132
7132222631320032
oct16443461712660
93481261601862
101001210222000
1135667a08366a
1214205b33b7a8
137354bc2b931
143665d077c52
151b09cb208d5
hexe91cc795b0

1001210222000 has 80 divisors (see below), whose sum is σ = 2435779418592. Its totient is φ = 398027001600.

The previous prime is 1001210221987. The next prime is 1001210222009. The reversal of 1001210222000 is 2220121001.

It is a happy number.

1001210222000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1001210222009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1209599 + ... + 1861598.

Almost surely, 21001210222000 is an apocalyptic number.

1001210222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001210222000 is an abundant number, since it is smaller than the sum of its proper divisors (1434569196592).

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

1001210222000 is a wasteful number, since it uses less digits than its factorization.

1001210222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3071383 (or 3071367 counting only the distinct ones).

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

Adding to 1001210222000 its reverse (2220121001), we get a palindrome (1003430343001).

The spelling of 1001210222000 in words is "one trillion, one billion, two hundred ten million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 163 200 250 326 400 500 652 815 1000 1304 1630 2000 2608 3260 4075 6520 8150 13040 16300 20375 32600 40750 65200 81500 163000 326000 3071197 6142394 12284788 15355985 24569576 30711970 49139152 61423940 76779925 122847880 153559850 245695760 307119700 383899625 500605111 614239400 767799250 1001210222 1228478800 1535598500 2002420444 2503025555 3071197000 4004840888 5006051110 6142394000 8009681776 10012102220 12515127775 20024204440 25030255550 40048408880 50060511100 62575638875 100121022200 125151277750 200242044400 250302555500 500605111000 1001210222000