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1101011111070 = 2351313125938311
BaseRepresentation
bin10000000001011001011…
…000000100110010011110
310220020220100122112100220
4100001121120010302132
5121014332321023240
62201444133102210
7142355040013143
oct20013130046236
93806810575326
101101011111070
11394a33083782
12159472487966
137ca95405950
143b4098a83ca
151d98e6295d0
hex10059604c9e

1101011111070 has 128 divisors (see below), whose sum is σ = 2868864058368. Its totient is φ = 268813209600.

The previous prime is 1101011111063. The next prime is 1101011111071. The reversal of 1101011111070 is 701111101011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101011111071) 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, 132472215 + ... + 132480525.

It is an arithmetic number, because the mean of its divisors is an integer number (22413000456).

Almost surely, 21101011111070 is an apocalyptic number.

1101011111070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101011111070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434432029184).

1101011111070 is an abundant number, since it is smaller than the sum of its proper divisors (1767852947298).

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

1101011111070 is a wasteful number, since it uses less digits than its factorization.

1101011111070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11058.

The product of its (nonzero) digits is 7, while the sum is 15.

Adding to 1101011111070 its reverse (701111101011), we get a palindrome (1802122212081).

The spelling of 1101011111070 in words is "one trillion, one hundred one billion, eleven million, one hundred eleven thousand, seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 131 195 262 390 393 655 786 1310 1703 1965 2593 3406 3930 5109 5186 7779 8311 8515 10218 12965 15558 16622 17030 24933 25545 25930 33709 38895 41555 49866 51090 67418 77790 83110 101127 108043 124665 168545 202254 216086 249330 324129 337090 339683 505635 540215 648258 679366 1011270 1019049 1080430 1088741 1620645 1698415 2038098 2177482 3241290 3266223 3396830 4415879 5095245 5443705 6532446 8831758 10190490 10887410 13247637 14153633 16331115 21550423 22079395 26495274 28307266 32662230 42460899 43100846 44158790 64651269 66238185 70768165 84921798 107752115 129302538 132476370 141536330 212304495 215504230 280155499 323256345 424608990 560310998 646512690 840466497 1400777495 1680932994 2801554990 2823105413 4202332485 5646210826 8404664970 8469316239 14115527065 16938632478 28231054130 36700370369 42346581195 73400740738 84693162390 110101111107 183501851845 220202222214 367003703690 550505555535 1101011111070