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1401213314100 = 2235216328654669
BaseRepresentation
bin10100011000111110110…
…100100110010000110100
311221221202222001112112010
4110120332310212100310
5140424141102022400
62551413012124220
7203143241436645
oct24307664462064
94857688045463
101401213314100
114a0284428116
121a7693606670
13a21980b0502
144bb678036cc
15266ae92a450
hex1463ed26434

1401213314100 has 72 divisors (see below), whose sum is σ = 4079049583840. Its totient is φ = 371364497280.

The previous prime is 1401213314077. The next prime is 1401213314113. The reversal of 1401213314100 is 14133121041.

It is a super-2 number, since 2×14012133141002 (a number of 25 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 14278435 + ... + 14376234.

Almost surely, 21401213314100 is an apocalyptic number.

1401213314100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1401213314100 is an abundant number, since it is smaller than the sum of its proper divisors (2677836269740).

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

1401213314100 is a wasteful number, since it uses less digits than its factorization.

1401213314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28654849 (or 28654842 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1401213314100 its reverse (14133121041), we get a palindrome (1415346435141).

The spelling of 1401213314100 in words is "one trillion, four hundred one billion, two hundred thirteen million, three hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 163 300 326 489 652 815 978 1630 1956 2445 3260 4075 4890 8150 9780 12225 16300 24450 48900 28654669 57309338 85964007 114618676 143273345 171928014 286546690 343856028 429820035 573093380 716366725 859640070 1432733450 1719280140 2149100175 2865466900 4298200350 4670711047 8596400700 9341422094 14012133141 18682844188 23353555235 28024266282 46707110470 56048532564 70060665705 93414220940 116767776175 140121331410 233535552350 280242662820 350303328525 467071104700 700606657050 1401213314100