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101155340 = 2251113113313
BaseRepresentation
bin1100000011110…
…00001000001100
321001100020001002
412001320020030
5201343432330
614012035432
72335543346
oct601701014
9231306032
10101155340
1152110560
1229a62b78
1317c59640
14d612296
158d31e45
hex607820c

101155340 has 96 divisors (see below), whose sum is σ = 252576576. Its totient is φ = 33546240.

The previous prime is 101155331. The next prime is 101155343. The reversal of 101155340 is 43551101.

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

It is not an unprimeable number, because it can be changed into a prime (101155343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323024 + ... + 323336.

It is an arithmetic number, because the mean of its divisors is an integer number (2631006).

Almost surely, 2101155340 is an apocalyptic number.

101155340 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 101155340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126288288).

101155340 is an abundant number, since it is smaller than the sum of its proper divisors (151421236).

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

101155340 is a wasteful number, since it uses less digits than its factorization.

101155340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 101155340 is about 10057.6011056315. The cubic root of 101155340 is about 465.9395809109.

The spelling of 101155340 in words is "one hundred one million, one hundred fifty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 113 130 143 220 226 260 286 313 452 565 572 626 715 1130 1243 1252 1430 1469 1565 2260 2486 2860 2938 3130 3443 4069 4972 5876 6215 6260 6886 7345 8138 12430 13772 14690 16159 16276 17215 20345 24860 29380 32318 34430 35369 40690 44759 64636 68860 70738 80795 81380 89518 141476 161590 176845 179036 223795 323180 353690 389059 447590 459797 707380 778118 895180 919594 1556236 1839188 1945295 2298985 3890590 4597970 5057767 7781180 9195940 10115534 20231068 25288835 50577670 101155340