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10022032102096 = 247671936919993
BaseRepresentation
bin1001000111010110111110…
…1010011101001011010000
31022111002121122112000002201
42101311233222131023100
52303200110204231341
633152020305252544
72053032204205150
oct221655752351320
938432548460081
1010022032102096
113214357936463
12115a406334154
135790c583a221
142690d7268760
15125a692b3331
hex91d6fa9d2d0

10022032102096 has 80 divisors (see below), whose sum is σ = 22639563090304. Its totient is φ = 4209126653952.

The previous prime is 10022032102079. The next prime is 10022032102099. The reversal of 10022032102096 is 69020123022001.

It is a super-2 number, since 2×100220321020962 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022032102099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2011725 + ... + 4908268.

Almost surely, 210022032102096 is an apocalyptic number.

10022032102096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10022032102096 is an abundant number, since it is smaller than the sum of its proper divisors (12617530988208).

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

10022032102096 is a wasteful number, since it uses less digits than its factorization.

10022032102096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6920268 (or 6920262 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 10022032102096 its reverse (69020123022001), we get a palindrome (79042155124097).

The spelling of 10022032102096 in words is "ten trillion, twenty-two billion, thirty-two million, one hundred two thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 56 67 112 134 193 268 386 469 536 772 938 1072 1351 1544 1876 2702 3088 3752 5404 7504 10808 12931 21616 25862 51724 90517 103448 181034 206896 362068 724136 1448272 6919993 13839986 27679972 48439951 55359944 96879902 110719888 193759804 387519608 463639531 775039216 927279062 1335558649 1854558124 2671117298 3245476717 3709116248 5342234596 6490953434 7418232496 9348910543 10684469192 12981906868 18697821086 21368938384 25963813736 37395642172 51927627472 74791284344 89482429483 149582568688 178964858966 357929717932 626377006381 715859435864 1252754012762 1431718871728 2505508025524 5011016051048 10022032102096