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11434311700 = 2252722333533
BaseRepresentation
bin10101010011000100…
…11100000000010100
31002111212200012212221
422221202130000110
5141404140433300
65130340552124
7553232021500
oct125142340024
932455605787
1011434311700
114938409689
1222713b2644
131102bc0616
147a6847300
1546dc7e31a
hex2a989c014

11434311700 has 54 divisors (see below), whose sum is σ = 28863482046. Its totient is φ = 3920333760.

The previous prime is 11434311697. The next prime is 11434311709. The reversal of 11434311700 is 711343411.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 579172356 + 10855139344 = 24066^2 + 104188^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11434311709) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1161867 + ... + 1171666.

Almost surely, 211434311700 is an apocalyptic number.

11434311700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11434311700 is an abundant number, since it is smaller than the sum of its proper divisors (17429170346).

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

11434311700 is a wasteful number, since it uses less digits than its factorization.

11434311700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333561 (or 2333547 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The spelling of 11434311700 in words is "eleven billion, four hundred thirty-four million, three hundred eleven thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 2333533 4667066 9334132 11667665 16334731 23335330 32669462 46670660 58338325 65338924 81673655 114343117 116676650 163347310 228686234 233353300 326694620 408368275 457372468 571715585 816736550 1143431170 1633473100 2286862340 2858577925 5717155850 11434311700