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1010021000120 = 2351118155722769
BaseRepresentation
bin11101011001010011111…
…00010110001110111000
310120120001002200222100122
432230221330112032320
5113022010334000440
62051555223152412
7132654155563556
oct16545174261670
93516032628318
101010021000120
1135a390583680
121438b9ba5708
1374324429702
1436c572b4bd6
151b4163c17b5
hexeb29f163b8

1010021000120 has 128 divisors (see below), whose sum is σ = 2497424529600. Its totient is φ = 364579430400.

The previous prime is 1010021000069. The next prime is 1010021000143. The reversal of 1010021000120 is 210001200101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1010021000098 and 1010021000107.

It is a congruent number.

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, 44348096 + ... + 44370864.

Almost surely, 21010021000120 is an apocalyptic number.

1010021000120 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 1010021000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248712264800).

1010021000120 is an abundant number, since it is smaller than the sum of its proper divisors (1487403529480).

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

1010021000120 is a wasteful number, since it uses less digits than its factorization.

1010021000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23529 (or 23525 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1010021000120 its reverse (210001200101), we get a palindrome (1220022200221).

The spelling of 1010021000120 in words is "one trillion, ten billion, twenty-one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 181 220 362 440 557 724 905 1114 1448 1810 1991 2228 2785 3620 3982 4456 5570 6127 7240 7964 9955 11140 12254 15928 19910 22280 22769 24508 30635 39820 45538 49016 61270 79640 91076 100817 113845 122540 182152 201634 227690 245080 250459 403268 455380 500918 504085 806536 910760 1001836 1008170 1108987 1252295 2003672 2016340 2217974 2504590 4032680 4121189 4435948 5009180 5544935 8242378 8871896 10018360 11089870 12682333 16484756 20605945 22179740 25364666 32969512 41211890 44359480 45333079 50729332 63411665 82423780 90666158 101458664 126823330 139505663 164847560 181332316 226665395 253646660 279011326 362664632 453330790 507293320 558022652 697528315 906661580 1116045304 1395056630 1813323160 2295502273 2790113260 4591004546 5580226520 9182009092 11477511365 18364018184 22955022730 25250525003 45910045460 50501050006 91820090920 101002100012 126252625015 202004200024 252505250030 505010500060 1010021000120