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101033102988 = 223212727779777
BaseRepresentation
bin101111000011000001…
…0101100111010001100
3100122210011121102010100
41132012002230322030
53123403433243423
6114225230011100
710204460130366
oct1360602547214
9318704542110
10101033102988
1139936609724
12176b7946a90
1396b186a09c
144c66347d36
152964ca9343
hex17860ace8c

101033102988 has 72 divisors (see below), whose sum is σ = 258332652032. Its totient is φ = 33291482112.

The previous prime is 101033102977. The next prime is 101033103001. The reversal of 101033102988 is 889201330101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1226556 + ... + 1306332.

Almost surely, 2101033102988 is an apocalyptic number.

101033102988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101033102988 is an abundant number, since it is smaller than the sum of its proper divisors (157299549044).

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

101033102988 is a wasteful number, since it uses less digits than its factorization.

101033102988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80191 (or 80186 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 101033102988 in words is "one hundred one billion, thirty-three million, one hundred two thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 127 254 277 381 508 554 762 831 1108 1143 1524 1662 2286 2493 3324 4572 4986 9972 35179 70358 79777 105537 140716 159554 211074 239331 316611 319108 422148 478662 633222 717993 957324 1266444 1435986 2871972 10131679 20263358 22098229 30395037 40526716 44196458 60790074 66294687 88392916 91185111 121580148 132589374 182370222 198884061 265178748 364740444 397768122 795536244 2806475083 5612950166 8419425249 11225900332 16838850498 25258275747 33677700996 50516551494 101033102988