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101100023100 = 22335237444453
BaseRepresentation
bin101111000101000000…
…1111110110100111100
3100122221211112022021000
41132022001332310330
53124023101214400
6114240020210300
710206232005636
oct1361201766474
9318854468230
10101100023100
11399703667aa
1217716239990
1396c269aa9b
144c711a7a56
15296aac7600
hex178a07ed3c

101100023100 has 72 divisors (see below), whose sum is σ = 325017860720. Its totient is φ = 26960005440.

The previous prime is 101100023069. The next prime is 101100023107. The reversal of 101100023100 is 1320001101.

It is a super-2 number, since 2×1011000231002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100023107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18719527 + ... + 18724926.

Almost surely, 2101100023100 is an apocalyptic number.

101100023100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100023100 is an abundant number, since it is smaller than the sum of its proper divisors (223917837620).

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

101100023100 is a wasteful number, since it uses less digits than its factorization.

101100023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37444476 (or 37444463 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 101100023100 its reverse (1320001101), we get a palindrome (102420024201).

The spelling of 101100023100 in words is "one hundred one billion, one hundred million, twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 37444453 74888906 112333359 149777812 187222265 224666718 337000077 374444530 449333436 561666795 674000154 748889060 936111325 1011000231 1123333590 1348000308 1685000385 1872222650 2022000462 2246667180 2808333975 3370000770 3744445300 4044000924 5055001155 5616667950 6740001540 8425001925 10110002310 11233335900 16850003850 20220004620 25275005775 33700007700 50550011550 101100023100