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103011254544 = 243111925314057
BaseRepresentation
bin101111111101111110…
…0110000000100010000
3100211220000211220220210
41133323330300010100
53141431340121134
6115153412404120
710304500134162
oct1377374600420
9324800756823
10103011254544
113a761193220
1217b6a316640
139938634873
144db2d56932
152a2d7a32e9
hex17fbf30110

103011254544 has 160 divisors (see below), whose sum is σ = 305779714560. Its totient is φ = 29553638400.

The previous prime is 103011254519. The next prime is 103011254579. The reversal of 103011254544 is 445452110301.

It is a super-2 number, since 2×1030112545442 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25388964 + ... + 25393020.

It is an arithmetic number, because the mean of its divisors is an integer number (1911123216).

Almost surely, 2103011254544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103011254544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152889857280).

103011254544 is an abundant number, since it is smaller than the sum of its proper divisors (202768460016).

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

103011254544 is a wasteful number, since it uses less digits than its factorization.

103011254544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6629 (or 6623 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 103011254544 its reverse (445452110301), we get a palindrome (548463364845).

It can be divided in two parts, 10301 and 1254544, that added together give a triangular number (1264845 = T1590).

The spelling of 103011254544 in words is "one hundred three billion, eleven million, two hundred fifty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 912 1254 1672 2508 2531 3344 4057 5016 5062 7593 8114 10032 10124 12171 15186 16228 20248 24342 27841 30372 32456 40496 44627 48089 48684 55682 60744 64912 77083 83523 89254 96178 97368 111364 121488 133881 144267 154166 167046 178508 192356 194736 222728 231249 267762 288534 308332 334092 357016 384712 445456 462498 528979 535524 577068 616664 668184 714032 769424 847913 924996 1057958 1071048 1154136 1233328 1336368 1586937 1695826 1849992 2115916 2142096 2308272 2543739 3173874 3391652 3699984 4231832 5087478 6347748 6783304 8463664 10174956 10268267 12695496 13566608 20349912 20536534 25390992 30804801 40699824 41073068 61609602 82146136 112950937 123219204 164292272 195097073 225901874 246438408 338852811 390194146 451803748 492876816 585291219 677705622 780388292 903607496 1170582438 1355411244 1560776584 1807214992 2146067803 2341164876 2710822488 3121553168 4292135606 4682329752 5421644976 6438203409 8584271212 9364659504 12876406818 17168542424 25752813636 34337084848 51505627272 103011254544