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103779978201 = 3273214712
BaseRepresentation
bin110000010100111000…
…1001100101111011001
3100220212121100010112100
41200221301030233121
53200020133300301
6115401553034013
710332523155054
oct1405161145731
9326777303470
10103779978201
1140016101729
1218143855909
139a2b986833
14504709da9b
152a75eed286
hex1829c4cbd9

103779978201 has 27 divisors (see below), whose sum is σ = 152089419807. Its totient is φ = 68192500320.

The previous prime is 103779978163. The next prime is 103779978227. The reversal of 103779978201 is 102879977301.

The square root of 103779978201 is 322149.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 58910571225 + 44869406976 = 242715^2 + 211824^2 .

It is not a de Polignac number, because 103779978201 - 221 = 103777881049 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103779978271) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 70549896 + ... + 70551366.

Almost surely, 2103779978201 is an apocalyptic number.

103779978201 is the 322149-th square number.

103779978201 is the 161075-th centered octagonal number.

It is an amenable number.

103779978201 is a deficient number, since it is larger than the sum of its proper divisors (48309441606).

103779978201 is an frugal number, since it uses more digits than its factorization.

103779978201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3094 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 54.

The spelling of 103779978201 in words is "one hundred three billion, seven hundred seventy-nine million, nine hundred seventy-eight thousand, two hundred one".

Divisors: 1 3 9 73 219 657 1471 4413 5329 13239 15987 47961 107383 322149 966447 2163841 6491523 7838959 19474569 23516877 70550631 157960393 473881179 1421643537 11531108689 34593326067 103779978201