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145153401210300 = 223527295323406931
BaseRepresentation
bin100001000000010000101000…
…111010101100010110111100
3201000221112022002210120021210
4201000100220322230112330
5123011143131202212200
61232414315115524420
742400662411600420
oct4100205072542674
9630845262716253
10145153401210300
114228323692955a
1214343850459710
1362cbba38b1a92
1427bb668028b80
1511bab8e1d3650
hex840428eac5bc

145153401210300 has 144 divisors (see below), whose sum is σ = 480136471576832. Its totient is φ = 33166683532800.

The previous prime is 145153401210281. The next prime is 145153401210329. The reversal of 145153401210300 is 3012104351541.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 5502166 + ... + 17904765.

Almost surely, 2145153401210300 is an apocalyptic number.

145153401210300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145153401210300 is an abundant number, since it is smaller than the sum of its proper divisors (334983070366532).

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

145153401210300 is a wasteful number, since it uses less digits than its factorization.

145153401210300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23409908 (or 23409901 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 145153401210300 its reverse (3012104351541), we get a palindrome (148165505561841).

The spelling of 145153401210300 in words is "one hundred forty-five trillion, one hundred fifty-three billion, four hundred one million, two hundred ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 2953 5906 8859 11812 14765 17718 20671 29530 35436 41342 44295 59060 62013 73825 82684 88590 103355 124026 147650 177180 206710 221475 248052 295300 310065 413420 442950 516775 620130 885900 1033550 1240260 1550325 2067100 3100650 6201300 23406931 46813862 70220793 93627724 117034655 140441586 163848517 234069310 280883172 327697034 351103965 468138620 491545551 585173275 655394068 702207930 819242585 983091102 1170346550 1404415860 1638485170 1755519825 1966182204 2340693100 2457727755 3276970340 3511039650 4096212925 4915455510 7022079300 8192425850 9830911020 12288638775 16384851700 24577277550 49154555100 69120667243 138241334486 207362001729 276482668972 345603336215 414724003458 483844670701 691206672430 829448006916 967689341402 1036810008645 1382413344860 1451534012103 1728016681075 1935378682804 2073620017290 2419223353505 2903068024206 3456033362150 4147240034580 4838446707010 5184050043225 5806136048412 6912066724300 7257670060515 9676893414020 10368100086450 12096116767525 14515340121030 20736200172900 24192233535050 29030680242060 36288350302575 48384467070100 72576700605150 145153401210300