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1035345531311 = 721321960110949
BaseRepresentation
bin11110001000011110110…
…01110001000110101111
310122222102000021110021022
433010033121301012233
5113430341424000221
62111344155524355
7134541553545200
oct17041731610657
93588360243238
101035345531311
1136a0a66197a3
121487a71596bb
137682bc6c700
143817a7b95a7
151bde97eb4ab
hexf10f6711af

1035345531311 has 72 divisors (see below), whose sum is σ = 1375202178000. Its totient is φ = 774697996800.

The previous prime is 1035345531307. The next prime is 1035345531313. The reversal of 1035345531311 is 1131355435301.

It is not a de Polignac number, because 1035345531311 - 22 = 1035345531307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035345531313) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 94555265 + ... + 94566213.

It is an arithmetic number, because the mean of its divisors is an integer number (19100030250).

Almost surely, 21035345531311 is an apocalyptic number.

1035345531311 is a deficient number, since it is larger than the sum of its proper divisors (339856646689).

1035345531311 is a wasteful number, since it uses less digits than its factorization.

1035345531311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11609 (or 11589 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 35.

The spelling of 1035345531311 in words is "one trillion, thirty-five billion, three hundred forty-five million, five hundred thirty-one thousand, three hundred eleven".

Divisors: 1 7 13 19 49 91 133 169 247 601 637 931 1183 1729 3211 4207 7813 8281 10949 11419 12103 22477 29449 54691 76643 79933 101569 142337 148447 157339 208031 382837 536501 559531 710983 996359 1039129 1456217 1850381 1929811 2704403 4976881 6580349 6974513 7273903 10193519 12952667 13508677 18930821 35157239 46062443 85544537 90668669 94560739 125026631 132515747 246100673 322437101 598811759 875186417 1112078981 1625346203 1722704711 4191682313 6126304919 7784552867 11377423421 21129500639 54491870069 79641963947 147906504473 1035345531311