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1010021010120 = 233351013923203
BaseRepresentation
bin11101011001010011111…
…00011000101011001000
310120120001002201111002000
432230221330120223020
5113022010334310440
62051555223311000
7132654155634663
oct16545174305310
93516032644060
101010021010120
1135a390590141
121438b9bab460
1374324431125
1436c572b86da
151b4163c4730
hexeb29f18ac8

1010021010120 has 128 divisors (see below), whose sum is σ = 3370063881600. Its totient is φ = 269072762112.

The previous prime is 1010021010079. The next prime is 1010021010191. The reversal of 1010021010120 is 210101200101.

It is a happy number.

1010021010120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 632439 + ... + 1555641.

It is an arithmetic number, because the mean of its divisors is an integer number (26328624075).

Almost surely, 21010021010120 is an apocalyptic number.

1010021010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010021010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685031940800).

1010021010120 is an abundant number, since it is smaller than the sum of its proper divisors (2360042871480).

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

1010021010120 is a wasteful number, since it uses less digits than its factorization.

1010021010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924236 (or 924226 counting only the distinct ones).

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

Adding to 1010021010120 its reverse (210101200101), we get a palindrome (1220122210221).

The spelling of 1010021010120 in words is "one trillion, ten billion, twenty-one million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1013 1080 2026 3039 4052 5065 6078 8104 9117 10130 12156 15195 18234 20260 24312 27351 30390 36468 40520 45585 54702 60780 72936 91170 109404 121560 136755 182340 218808 273510 364680 547020 923203 1094040 1846406 2769609 3692812 4616015 5539218 7385624 8308827 9232030 11078436 13848045 16617654 18464060 22156872 24926481 27696090 33235308 36928120 41544135 49852962 55392180 66470616 83088270 99705924 110784360 124632405 166176540 199411848 249264810 332353080 498529620 935204639 997059240 1870409278 2805613917 3740818556 4676023195 5611227834 7481637112 8416841751 9352046390 11222455668 14028069585 16833683502 18704092780 22444911336 25250525253 28056139170 33667367004 37408185560 42084208755 50501050506 56112278340 67334734008 84168417510 101002101012 112224556680 126252626265 168336835020 202004202024 252505252530 336673670040 505010505060 1010021010120