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103010302220310 = 233511331310786837
BaseRepresentation
bin10111011010111111110100…
…011110001101100000010110
3111111201200121002000211012000
4113122333310132031200112
5102000210044332022220
61003030140214340130
730461151213626142
oct2732776436154026
9444650532024160
10103010302220310
112a905473148511
12b67810595a646
134562aa315a8a4
141b61a2205c222
15bd98036bd390
hex5daff478d816

103010302220310 has 128 divisors (see below), whose sum is σ = 278010470194560. Its totient is φ = 27139334197248.

The previous prime is 103010302220251. The next prime is 103010302220321. The reversal of 103010302220310 is 13022203010301.

103010302220310 is a `hidden beast` number, since 1 + 0 + 30 + 1 + 0 + 302 + 2 + 20 + 310 = 666.

It is a super-2 number, since 2×1030103022203102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4156212 + ... + 14943048.

It is an arithmetic number, because the mean of its divisors is an integer number (2171956798395).

Almost surely, 2103010302220310 is an apocalyptic number.

103010302220310 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 103010302220310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139005235097280).

103010302220310 is an abundant number, since it is smaller than the sum of its proper divisors (175000167974250).

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

103010302220310 is a wasteful number, since it uses less digits than its factorization.

103010302220310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10787279 (or 10787273 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103010302220310 its reverse (13022203010301), we get a palindrome (116032505230611).

The spelling of 103010302220310 in words is "one hundred three trillion, ten billion, three hundred two million, two hundred twenty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 113 135 226 270 313 339 565 626 678 939 1017 1130 1565 1695 1878 2034 2817 3051 3130 3390 4695 5085 5634 6102 8451 9390 10170 14085 15255 16902 28170 30510 35369 42255 70738 84510 106107 176845 212214 318321 353690 530535 636642 954963 1061070 1591605 1909926 3183210 4774815 9549630 10786837 21573674 32360511 53934185 64721022 97081533 107868370 161802555 194163066 291244599 323605110 485407665 582489198 970815330 1218912581 1456222995 2437825162 2912445990 3376279981 3656737743 6094562905 6752559962 7313475486 10128839943 10970213229 12189125810 16881399905 18283688715 20257679886 21940426458 30386519829 32910639687 33762799810 36567377430 50644199715 54851066145 60773039658 65821279374 91159559487 101288399430 109702132290 151932599145 164553198435 182319118974 303865198290 329106396870 381519637853 455797797435 763039275706 911595594870 1144558913559 1907598189265 2289117827118 3433676740677 3815196378530 5722794567795 6867353481354 10301030222031 11445589135590 17168383703385 20602060444062 34336767406770 51505151110155 103010302220310