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101100060480 = 2635191355051
BaseRepresentation
bin101111000101000001…
…0000111111101000000
3100122221211121012112110
41132022002013331000
53124023103413410
6114240021055320
710206232222626
oct1361202077500
9318854535473
10101100060480
11399703918a1
1217716257540
1396c26b1ac3
144c711b7516
15296aad3720
hex178a087f40

101100060480 has 112 divisors (see below), whose sum is σ = 321166321344. Its totient is φ = 26945433600.

The previous prime is 101100060461. The next prime is 101100060491. The reversal of 101100060480 is 84060001101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1808955 + ... + 1864005.

Almost surely, 2101100060480 is an apocalyptic number.

101100060480 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 101100060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160583160672).

101100060480 is an abundant number, since it is smaller than the sum of its proper divisors (220066260864).

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

101100060480 is a wasteful number, since it uses less digits than its factorization.

101100060480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56984 (or 56974 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 101100060480 its reverse (84060001101), we get a palindrome (185160061581).

The spelling of 101100060480 in words is "one hundred one billion, one hundred million, sixty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1913 3826 5739 7652 9565 11478 15304 19130 22956 28695 30608 38260 45912 55051 57390 61216 76520 91824 110102 114780 122432 153040 165153 183648 220204 229560 275255 306080 330306 367296 440408 459120 550510 612160 660612 825765 880816 918240 1101020 1321224 1651530 1761632 1836480 2202040 2642448 3303060 3523264 4404080 5284896 6606120 8808160 10569792 13212240 17616320 26424480 52848960 105312563 210625126 315937689 421250252 526562815 631875378 842500504 1053125630 1263750756 1579688445 1685001008 2106251260 2527501512 3159376890 3370002016 4212502520 5055003024 6318753780 6740004032 8425005040 10110006048 12637507560 16850010080 20220012096 25275015120 33700020160 50550030240 101100060480