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540101221023 = 371331137465833
BaseRepresentation
bin1111101110000001000…
…10101001101010011111
31220122002120201210212210
413313000202221222133
532322111403033043
61052041415331503
754010132426230
oct7670042515237
91818076653783
10540101221023
11199068071381
1288812980b93
133bc15180820
141c1d901d087
15e0b1461633
hex7dc08a9a9f

540101221023 has 64 divisors (see below), whose sum is σ = 921591078912. Its totient is φ = 273685616640.

The previous prime is 540101221019. The next prime is 540101221031. The reversal of 540101221023 is 320122101045.

It is not a de Polignac number, because 540101221023 - 22 = 540101221019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540101221013) 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, 926515 + ... + 1392347.

It is an arithmetic number, because the mean of its divisors is an integer number (14399860608).

Almost surely, 2540101221023 is an apocalyptic number.

540101221023 is a deficient number, since it is larger than the sum of its proper divisors (381489857889).

540101221023 is a wasteful number, since it uses less digits than its factorization.

540101221023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466024.

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 540101221023 its reverse (320122101045), we get a palindrome (860223322068).

The spelling of 540101221023 in words is "five hundred forty billion, one hundred one million, two hundred twenty-one thousand, twenty-three".

Divisors: 1 3 7 13 21 31 39 91 93 137 217 273 403 411 651 959 1209 1781 2821 2877 4247 5343 8463 12467 12741 29729 37401 55211 89187 165633 386477 465833 1159431 1397499 3260831 6055829 9782493 14440823 18167487 42390803 43322469 63819121 101085761 127172409 187730699 191457363 303257283 446733847 563192097 829648573 1314114893 1340201541 1978392751 2488945719 3942344679 5807540011 5935178253 13848749257 17422620033 25719105763 41546247771 77157317289 180033740341 540101221023