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103320211120230 = 235137124591517413
BaseRepresentation
bin10111011111100000011100…
…011110110110000001100110
3111112211022112011022010020110
4113133200130132312001212
5102020244243021321410
61003424352201513450
730522432102046536
oct2737403436660146
9445738464263213
10103320211120230
112aa149456969a5
12b7081957a2886
134586091b2b090
141b72a211ab4c6
15be28e0c42720
hex5df81c7b6066

103320211120230 has 128 divisors (see below), whose sum is σ = 270914482621440. Its totient is φ = 25064247237120.

The previous prime is 103320211120207. The next prime is 103320211120261. The reversal of 103320211120230 is 32021112023301.

It is a junction number, because it is equal to n+sod(n) for n = 103320211120197 and 103320211120206.

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, 67331004 + ... + 68848416.

It is an arithmetic number, because the mean of its divisors is an integer number (2116519395480).

Almost surely, 2103320211120230 is an apocalyptic number.

103320211120230 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 103320211120230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135457241310720).

103320211120230 is an abundant number, since it is smaller than the sum of its proper divisors (167594271501210).

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

103320211120230 is a wasteful number, since it uses less digits than its factorization.

103320211120230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519966.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 103320211120230 its reverse (32021112023301), we get a palindrome (135341323143531).

The spelling of 103320211120230 in words is "one hundred three trillion, three hundred twenty billion, two hundred eleven million, one hundred twenty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 71 78 130 142 195 213 355 390 426 710 923 1065 1846 2130 2459 2769 4615 4918 5538 7377 9230 12295 13845 14754 24590 27690 31967 36885 63934 73770 95901 159835 174589 191802 319670 349178 479505 523767 872945 959010 1047534 1517413 1745890 2269657 2618835 3034826 4539314 4552239 5237670 6808971 7587065 9104478 11348285 13617942 15174130 19726369 22696570 22761195 34044855 39452738 45522390 59179107 68089710 98631845 107736323 118358214 197263690 215472646 295895535 323208969 538681615 591791070 646417938 1077363230 1400572199 1616044845 2801144398 3232089690 3731318567 4201716597 7002860995 7462637134 8403433194 11193955701 14005721990 18656592835 21008582985 22387911402 37313185670 42017165970 48507141371 55969778505 97014282742 111939557010 145521424113 242535706855 264923618257 291042848226 485071413710 529847236514 727607120565 794770854771 1324618091285 1455214241130 1589541709542 2649236182570 3444007037341 3973854273855 6888014074682 7947708547710 10332021112023 17220035186705 20664042224046 34440070373410 51660105560115 103320211120230