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1001022010020 = 22355205971607
BaseRepresentation
bin11101001000100011000…
…11111011001010100100
310112200210221111220200000
432210101203323022210
5112400043113310040
62043510235421300
7132215154460044
oct16442143731244
93480727456600
101001022010020
1135659291217a
121420082b4830
137351bc40cb6
1436642083724
151b08b344130
hexe9118fb2a4

1001022010020 has 72 divisors (see below), whose sum is σ = 3148893943104. Its totient is φ = 266939201376.

The previous prime is 1001022009997. The next prime is 1001022010049. The reversal of 1001022010020 is 200102201001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001022009984 and 1001022010011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102980944 + ... + 102990663.

Almost surely, 21001022010020 is an apocalyptic number.

1001022010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001022010020 is an abundant number, since it is smaller than the sum of its proper divisors (2147871933084).

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

1001022010020 is a wasteful number, since it uses less digits than its factorization.

1001022010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205971631 (or 205971617 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1001022010020 its reverse (200102201001), we get a palindrome (1201124211021).

The spelling of 1001022010020 in words is "one trillion, one billion, twenty-two million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 205971607 411943214 617914821 823886428 1029858035 1235829642 1853744463 2059716070 2471659284 3089574105 3707488926 4119432140 5561233389 6179148210 7414977852 9268722315 11122466778 12358296420 16683700167 18537444630 22244933556 27806166945 33367400334 37074889260 50051100501 55612333890 66734800668 83418500835 100102201002 111224667780 166837001670 200204402004 250255502505 333674003340 500511005010 1001022010020