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1002022221000 = 23353528163247
BaseRepresentation
bin11101001010011010010…
…11011011010011001000
310112210101122120220012010
432211031023123103020
5112404120142033000
62044153405415520
7132252021230043
oct16451513332310
93483348526163
101002022221000
11356a5646a519
1214224726a5a0
137364b223208
14366d8c47c5a
151b0e9067d50
hexe94d2db4c8

1002022221000 has 128 divisors (see below), whose sum is σ = 3126950760960. Its totient is φ = 267151104000.

The previous prime is 1002022220987. The next prime is 1002022221041. The reversal of 1002022221000 is 1222202001.

1002022221000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 15811377 + ... + 15874623.

It is an arithmetic number, because the mean of its divisors is an integer number (24429302820).

Almost surely, 21002022221000 is an apocalyptic number.

1002022221000 is a gapful number since it is divisible by the number (10) 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 1002022221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563475380480).

1002022221000 is an abundant number, since it is smaller than the sum of its proper divisors (2124928539960).

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

1002022221000 is a wasteful number, since it uses less digits than its factorization.

1002022221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68552 (or 68538 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1002022221000 its reverse (1222202001), we get a palindrome (1003244423001).

The spelling of 1002022221000 in words is "one trillion, two billion, twenty-two million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 5281 10562 15843 21124 26405 31686 42248 52810 63247 63372 79215 105620 126494 126744 132025 158430 189741 211240 252988 264050 316235 316860 379482 396075 505976 528100 632470 633720 660125 758964 792150 948705 1056200 1264940 1320250 1517928 1581175 1584300 1897410 1980375 2529880 2640500 3162350 3168600 3794820 3960750 4743525 5281000 6324700 7589640 7905875 7921500 9487050 12649400 15811750 15843000 18974100 23717625 31623500 37948200 47435250 63247000 94870500 189741000 334007407 668014814 1002022221 1336029628 1670037035 2004044442 2672059256 3340074070 4008088884 5010111105 6680148140 8016177768 8350185175 10020222210 13360296280 16700370350 20040444420 25050555525 33400740700 40080888840 41750925875 50101111050 66801481400 83501851750 100202222100 125252777625 167003703500 200404444200 250505555250 334007407000 501011110500 1002022221000