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10211222111020 = 22572231014485413
BaseRepresentation
bin1001010010010111110001…
…0001000100001100101100
31100011011221121220020121021
42110211330101010030230
52314300040330023040
633414545355543524
72102510413562200
oct224457421041454
940134847806537
1010211222111020
113287611748337
12118b00575aba4
13590bb63cb578
142743237bab00
1512a93d6cc24a
hex9497c44432c

10211222111020 has 144 divisors (see below), whose sum is σ = 26286822571968. Its totient is φ = 3315616550400.

The previous prime is 10211222110987. The next prime is 10211222111029. The reversal of 10211222111020 is 2011122211201.

It is a junction number, because it is equal to n+sod(n) for n = 10211222110985 and 10211222111003.

It is not an unprimeable number, because it can be changed into a prime (10211222111029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33834 + ... + 4519246.

It is an arithmetic number, because the mean of its divisors is an integer number (182547378972).

Almost surely, 210211222111020 is an apocalyptic number.

10211222111020 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 10211222111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13143411285984).

10211222111020 is an abundant number, since it is smaller than the sum of its proper divisors (16075600460948).

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

10211222111020 is a wasteful number, since it uses less digits than its factorization.

10211222111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4485560 (or 4485551 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10211222111020 its reverse (2011122211201), we get a palindrome (12222344322221).

The spelling of 10211222111020 in words is "ten trillion, two hundred eleven billion, two hundred twenty-two million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 92 98 101 115 140 161 196 202 230 245 322 404 460 490 505 644 707 805 980 1010 1127 1414 1610 2020 2254 2323 2828 3220 3535 4508 4646 4949 5635 7070 9292 9898 11270 11615 14140 16261 19796 22540 23230 24745 32522 46460 49490 65044 81305 98980 113827 162610 227654 325220 455308 569135 1138270 2276540 4485413 8970826 17941652 22427065 31397891 44854130 62795782 89708260 103164499 125591564 156989455 206328998 219785237 313978910 412657996 439570474 453026713 515822495 627957820 722151493 879140948 906053426 1031644990 1098926185 1444302986 1812106852 2063289980 2197852370 2265133565 2888605972 3171186991 3610757465 4395704740 4530267130 5055060451 6342373982 7221514930 9060534260 10110120902 10419614399 12684747964 14443029860 15855934955 20220241804 20839228798 22198308937 25275302255 31711869910 41678457596 44396617874 50550604510 52098071995 63423739820 72937300793 88793235748 101101209020 104196143990 110991544685 145874601586 208392287980 221983089370 291749203172 364686503965 443966178740 510561105551 729373007930 1021122211102 1458746015860 2042244422204 2552805527755 5105611055510 10211222111020