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11006710401037 = 1319312313148147
BaseRepresentation
bin1010000000101011001100…
…0100000100100000001101
31102222020020120110101000011
42200022303010010200031
52420313220330313122
635224225110433221
72214131354512621
oct240126304044015
942866216411004
1011006710401037
113563a1309359a
121299211062811
1361ac0b731460
142a0a28869181
1514149a86b377
hexa02b310480d

11006710401037 has 48 divisors (see below), whose sum is σ = 12933995954880. Its totient is φ = 9284985365760.

The previous prime is 11006710400993. The next prime is 11006710401041. The reversal of 11006710401037 is 73010401760011.

It is a de Polignac number, because none of the positive numbers 2k-11006710401037 is a prime.

It is a super-2 number, since 2×110067104010372 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006710401937) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74221798 + ... + 74369944.

It is an arithmetic number, because the mean of its divisors is an integer number (269458249060).

Almost surely, 211006710401037 is an apocalyptic number.

It is an amenable number.

11006710401037 is a deficient number, since it is larger than the sum of its proper divisors (1927285553843).

11006710401037 is a wasteful number, since it uses less digits than its factorization.

11006710401037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148554 (or 148523 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 31.

The spelling of 11006710401037 in words is "eleven trillion, six billion, seven hundred ten million, four hundred one thousand, thirty-seven".

Divisors: 1 13 19 31 247 313 403 589 961 4069 5947 7657 9703 12493 18259 77311 126139 148147 184357 237367 300793 1925911 2396641 2814793 3910309 4592557 5715067 36592309 46370011 59703241 74295871 87258583 142369267 602810143 881030209 1134361579 1437470341 1850800471 2705016073 11453392717 18687114433 27311936479 35165208949 44561580571 355055174227 579300547423 846670030849 11006710401037