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1011013320210 = 235313747961339
BaseRepresentation
bin11101011011001010001…
…01101111111000010010
310120122121020221001121120
432231211011233320102
5113031023402221320
62052241512103110
7133020565300215
oct16554505577022
93518536831546
101011013320210
1135a84a731423
12143b36394a96
1374451ba806a
1436d0cdc377c
151b473587440
hexeb6516fe12

1011013320210 has 128 divisors (see below), whose sum is σ = 2577811046400. Its totient is φ = 253321032960.

The previous prime is 1011013320167. The next prime is 1011013320211. The reversal of 1011013320210 is 120233101101.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1011013320210.

It is not an unprimeable number, because it can be changed into a prime (1011013320211) 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, 16451721 + ... + 16513059.

It is an arithmetic number, because the mean of its divisors is an integer number (20139148800).

Almost surely, 21011013320210 is an apocalyptic number.

1011013320210 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 1011013320210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288905523200).

1011013320210 is an abundant number, since it is smaller than the sum of its proper divisors (1566797726190).

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

1011013320210 is a wasteful number, since it uses less digits than its factorization.

1011013320210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61896.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1011013320210 its reverse (120233101101), we get a palindrome (1131246421311).

The spelling of 1011013320210 in words is "one trillion, eleven billion, thirteen million, three hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 37 62 74 93 111 155 185 186 222 310 370 465 479 555 930 958 1110 1147 1437 2294 2395 2874 3441 4790 5735 6882 7185 11470 14370 14849 17205 17723 29698 34410 35446 44547 53169 61339 74245 88615 89094 106338 122678 148490 177230 184017 222735 265845 306695 368034 445470 531690 549413 613390 920085 1098826 1648239 1840170 1901509 2269543 2747065 3296478 3803018 4539086 5494130 5704527 6808629 8241195 9507545 11347715 11409054 13617258 16482390 19015090 22695430 28522635 29381381 34043145 57045270 58762762 68086290 70355833 88144143 140711666 146906905 176288286 211067499 293813810 351779165 422134998 440720715 703558330 881441430 910822811 1055337495 1087111097 1821645622 2110674990 2174222194 2732468433 3261333291 4554114055 5435555485 5464936866 6522666582 9108228110 10871110970 13662342165 16306666455 27324684330 32613332910 33700444007 67400888014 101101332021 168502220035 202202664042 337004440070 505506660105 1011013320210