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101204251040 = 2552921811261
BaseRepresentation
bin101111001000000111…
…1100101000110100000
3100200020002122122010002
41132100033211012200
53124231242013130
6114254222155132
710211635640324
oct1362017450640
9320202578102
10101204251040
1139a141857a2
1217745122aa8
13970b161b19
144c80d79984
152974d14b45
hex17903e51a0

101204251040 has 48 divisors (see below), whose sum is σ = 247339711080. Its totient is φ = 39085777920.

The previous prime is 101204250977. The next prime is 101204251061. The reversal of 101204251040 is 40152402101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 96927614224 + 4276636816 = 311332^2 + 65396^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10900991 + ... + 10910270.

Almost surely, 2101204251040 is an apocalyptic number.

101204251040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101204251040 is an abundant number, since it is smaller than the sum of its proper divisors (146135460040).

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

101204251040 is a wasteful number, since it uses less digits than its factorization.

101204251040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21811305 (or 21811297 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 101204251040 its reverse (40152402101), we get a palindrome (141356653141).

The spelling of 101204251040 in words is "one hundred one billion, two hundred four million, two hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 21811261 43622522 87245044 109056305 174490088 218112610 348980176 436225220 632526569 697960352 872450440 1265053138 1744900880 2530106276 3162632845 3489801760 5060212552 6325265690 10120425104 12650531380 20240850208 25301062760 50602125520 101204251040