Search a number
-
+
103003332233010 = 235115928571851719
BaseRepresentation
bin10111011010111001010101…
…000001110100011100110010
3111111201000121022202210002020
4113122321111001310130302
5102000101311022424020
61003023024431332310
730460513411000356
oct2732712501643462
9444630538683066
10103003332233010
112a902516832930
12b67689b681096
134562232132651
141b615604b5466
15bd9546831c40
hex5dae55074732

103003332233010 has 128 divisors (see below), whose sum is σ = 274348464998400. Its totient is φ = 24538670661120.

The previous prime is 103003332232963. The next prime is 103003332233017. The reversal of 103003332233010 is 10332233300301.

It is a super-3 number, since 3×1030033322330103 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (103003332233017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54699931 + ... + 56551649.

It is an arithmetic number, because the mean of its divisors is an integer number (2143347382800).

Almost surely, 2103003332233010 is an apocalyptic number.

103003332233010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103003332233010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137174232499200).

103003332233010 is an abundant number, since it is smaller than the sum of its proper divisors (171345132765390).

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

103003332233010 is a wasteful number, since it uses less digits than its factorization.

103003332233010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854656.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 103003332233010 its reverse (10332233300301), we get a palindrome (113335565533311).

The spelling of 103003332233010 in words is "one hundred three trillion, three billion, three hundred thirty-two million, two hundred thirty-three thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 59 66 110 118 165 177 295 330 354 590 649 885 1298 1770 1947 2857 3245 3894 5714 6490 8571 9735 14285 17142 19470 28570 31427 42855 62854 85710 94281 157135 168563 188562 314270 337126 471405 505689 842815 942810 1011378 1685630 1851719 1854193 2528445 3703438 3708386 5056890 5555157 5562579 9258595 9270965 11110314 11125158 18517190 18541930 20368909 27775785 27812895 40737818 55551570 55625790 61106727 101844545 109251421 122213454 203689090 218502842 305533635 327754263 546257105 611067270 655508526 1092514210 1201765631 1638771315 2403531262 3277542630 3605296893 5290361183 6008828155 7210593786 10580722366 12017656310 15871083549 18026484465 26451805915 31742167098 36052968930 52903611830 58193973013 79355417745 116387946026 158710835490 174581919039 290969865065 312131309797 349163838078 581939730130 624262619594 872909595195 936393929391 1560656548985 1745819190390 1872787858782 3121313097970 3433444407767 4681969646955 6866888815534 9363939293910 10300333223301 17167222038835 20600666446602 34334444077670 51501666116505 103003332233010