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10132181050 = 2521723122619
BaseRepresentation
bin10010110111110110…
…01101000000111010
3222011010111010102211
421123323031000322
5131222314243200
64353223445334
7506041055305
oct113373150072
928133433384
1010132181050
11432a396652
121b692b684a
13c561ba904
146c192db3c
153e47bcaba
hex25becd03a

10132181050 has 72 divisors (see below), whose sum is σ = 20666355840. Its totient is φ = 3691257600.

The previous prime is 10132181041. The next prime is 10132181107. The reversal of 10132181050 is 5018123101.

It is a super-2 number, since 2×101321810502 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 436641 + ... + 459259.

It is an arithmetic number, because the mean of its divisors is an integer number (287032720).

Almost surely, 210132181050 is an apocalyptic number.

10132181050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10132181050 is an abundant number, since it is smaller than the sum of its proper divisors (10534174790).

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

10132181050 is a wasteful number, since it uses less digits than its factorization.

10132181050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22696 (or 22674 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 22.

The spelling of 10132181050 in words is "ten billion, one hundred thirty-two million, one hundred eighty-one thousand, fifty".

Divisors: 1 2 5 10 17 25 31 34 50 62 85 155 170 289 310 425 527 578 775 850 1054 1445 1550 2635 2890 5270 7225 8959 13175 14450 17918 22619 26350 44795 45238 89590 113095 223975 226190 384523 447950 565475 701189 769046 1130950 1402378 1922615 3505945 3845230 6536891 7011890 9613075 11920213 13073782 17529725 19226150 23840426 32684455 35059450 59601065 65368910 119202130 163422275 202643621 298005325 326844550 405287242 596010650 1013218105 2026436210 5066090525 10132181050