Search a number
-
+
1011020010120 = 233451916423327
BaseRepresentation
bin11101011011001010111…
…11010001001010001000
310120122121201111221110000
432231211133101022020
5113031032110310440
62052242311323000
7133021006202301
oct16554537211210
93518551457400
101011020010120
1135a85349067a
12143b38680460
13744533ab0a3
1436d0dc457a8
151b473e59730
hexeb657d1288

1011020010120 has 160 divisors (see below), whose sum is σ = 3577000838400. Its totient is φ = 255415565952.

The previous prime is 1011020010109. The next prime is 1011020010157. The reversal of 1011020010120 is 210100201101.

It is a happy number.

1011020010120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10110200101202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8150104 + ... + 8273223.

It is an arithmetic number, because the mean of its divisors is an integer number (22356255240).

Almost surely, 21011020010120 is an apocalyptic number.

1011020010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011020010120 is an abundant number, since it is smaller than the sum of its proper divisors (2565980828280).

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

1011020010120 is a wasteful number, since it uses less digits than its factorization.

1011020010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16423369 (or 16423356 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1011020010120 its reverse (210100201101), we get a palindrome (1221120211221).

The spelling of 1011020010120 in words is "one trillion, eleven billion, twenty million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 81 90 95 108 114 120 135 152 162 171 180 190 216 228 270 285 324 342 360 380 405 456 513 540 570 648 684 760 810 855 1026 1080 1140 1368 1539 1620 1710 2052 2280 2565 3078 3240 3420 4104 5130 6156 6840 7695 10260 12312 15390 20520 30780 61560 16423327 32846654 49269981 65693308 82116635 98539962 131386616 147809943 164233270 197079924 246349905 295619886 312043213 328466540 394159848 443429829 492699810 591239772 624086426 656933080 739049715 886859658 936129639 985399620 1182479544 1248172852 1330289487 1478099430 1560216065 1773719316 1872259278 1970799240 2217149145 2496345704 2660578974 2808388917 2956198860 3120432130 3547438632 3744518556 4434298290 4680648195 5321157948 5616777834 5912397720 6240864260 6651447435 7489037112 8425166751 8868596580 9361296390 10642315896 11233555668 12481728520 13302894870 14041944585 16850333502 17737193160 18722592780 22467111336 25275500253 26605789740 28083889170 33700667004 37445185560 42125833755 50551000506 53211579480 56167778340 67401334008 84251667510 101102001012 112335556680 126377501265 168503335020 202204002024 252755002530 337006670040 505510005060 1011020010120