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10220022211020 = 2235437307542117
BaseRepresentation
bin1001010010111000100011…
…0010110010000111001100
31100012000122220211122100220
42110232020302302013030
52314421101141223040
633423002520351340
72103241451313336
oct224561062620714
940160586748326
1010220022211020
113290318114756
121190860915550
1359198962ac2b
1427491a438456
1512aca606e2d0
hex94b88cb21cc

10220022211020 has 96 divisors (see below), whose sum is σ = 29285613358848. Its totient is φ = 2661590061312.

The previous prime is 10220022210991. The next prime is 10220022211031. The reversal of 10220022211020 is 2011222002201.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 18581002 + ... + 19123118.

It is an arithmetic number, because the mean of its divisors is an integer number (305058472488).

Almost surely, 210220022211020 is an apocalyptic number.

10220022211020 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 10220022211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14642806679424).

10220022211020 is an abundant number, since it is smaller than the sum of its proper divisors (19065591147828).

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

10220022211020 is a wasteful number, since it uses less digits than its factorization.

10220022211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549479 (or 549477 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10220022211020 its reverse (2011222002201), we get a palindrome (12231244213221).

The spelling of 10220022211020 in words is "ten trillion, two hundred twenty billion, twenty-two million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 7307 14614 21921 29228 36535 43842 73070 87684 109605 146140 219210 314201 438420 542117 628402 942603 1084234 1256804 1571005 1626351 1885206 2168468 2710585 3142010 3252702 3770412 4713015 5421170 6284020 6505404 8131755 9426030 10842340 16263510 18852060 23311031 32527020 46622062 69933093 93244124 116555155 139866186 233110310 279732372 349665465 466220620 699330930 1398661860 3961248919 7922497838 11883746757 15844995676 19806244595 23767493514 39612489190 47534987028 59418733785 79224978380 118837467570 170333703517 237674935140 340667407034 511001110551 681334814068 851668517585 1022002221102 1703337035170 2044004442204 2555005552755 3406674070340 5110011105510 10220022211020