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145221332202210 = 235113746792541919
BaseRepresentation
bin100001000001001111111001…
…111010110111001011100010
3201001012000122022221111122010
4201001033321322313023202
5123013301242020432320
61232505431540453350
742405615663522465
oct4101177172671342
9631160568844563
10145221332202210
11422aa026130190
1214354a4a3aa256
13630540b49cb94
1427c0a6dd412dc
1511bc817d4eae0
hex8413f9eb72e2

145221332202210 has 128 divisors (see below), whose sum is σ = 390575565619200. Its totient is φ = 34246346123520.

The previous prime is 145221332202161. The next prime is 145221332202211. The reversal of 145221332202210 is 12202233122541.

It is a happy number.

145221332202210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (145221332202211) 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, 55859631 + ... + 58401549.

It is an arithmetic number, because the mean of its divisors is an integer number (3051371606400).

Almost surely, 2145221332202210 is an apocalyptic number.

145221332202210 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 145221332202210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195287782809600).

145221332202210 is an abundant number, since it is smaller than the sum of its proper divisors (245354233416990).

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

145221332202210 is a wasteful number, since it uses less digits than its factorization.

145221332202210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2546656.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 145221332202210 its reverse (12202233122541), we get a palindrome (157423565324751).

The spelling of 145221332202210 in words is "one hundred forty-five trillion, two hundred twenty-one billion, three hundred thirty-two million, two hundred two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1221 2035 2442 4070 4679 6105 9358 12210 14037 23395 28074 46790 51469 70185 102938 140370 154407 173123 257345 308814 346246 514690 519369 772035 865615 1038738 1544070 1731230 1904353 2541919 2596845 3808706 5083838 5193690 5713059 7625757 9521765 11426118 12709595 15251514 19043530 25419190 27961109 28565295 38128785 55922218 57130590 76257570 83883327 94051003 139805545 167766654 188102006 279611090 282153009 419416635 470255015 564306018 838833270 940510030 1034561033 1410765045 2069122066 2821530090 3103683099 5172805165 6207366198 10345610330 11893639001 15518415495 23787278002 31036830990 35680917003 59468195005 71361834006 118936390010 130830029011 178404585015 261660058022 356809170030 392490087033 440064643037 654150145055 784980174066 880129286074 1308300290110 1320193929111 1962450435165 2200323215185 2640387858222 3924900870330 4400646430370 4840711073407 6600969645555 9681422146814 13201939291110 14522133220221 24203555367035 29044266440442 48407110734070 72610666101105 145221332202210