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1020010201122 = 23111723229172603
BaseRepresentation
bin11101101011111010101…
…10001000000000100010
310121111211021010222001010
432311331112020000202
5113202440102413442
62100330342321350
7133456542440553
oct16657526100042
93544737128033
101020010201122
113636471921a0
12145827429256
1375256b05733
1437523c2632a
151b7ed349b9c
hexed7d588022

1020010201122 has 128 divisors (see below), whose sum is σ = 2469590415360. Its totient is φ = 277046922240.

The previous prime is 1020010201109. The next prime is 1020010201123. The reversal of 1020010201122 is 2211020100201.

It is a junction number, because it is equal to n+sod(n) for n = 1020010201098 and 1020010201107.

It is not an unprimeable number, because it can be changed into a prime (1020010201123) 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, 5823273 + ... + 5995875.

It is an arithmetic number, because the mean of its divisors is an integer number (19293675120).

Almost surely, 21020010201122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020010201122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234795207680).

1020010201122 is an abundant number, since it is smaller than the sum of its proper divisors (1449580214238).

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

1020010201122 is a wasteful number, since it uses less digits than its factorization.

1020010201122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172888.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020010201122 its reverse (2211020100201), we get a palindrome (3231030301323).

The spelling of 1020010201122 in words is "one trillion, twenty billion, ten million, two hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 17 22 23 33 34 46 51 66 69 102 138 187 229 253 374 391 458 506 561 687 759 782 1122 1173 1374 1518 2346 2519 3893 4301 5038 5267 7557 7786 8602 10534 11679 12903 15114 15801 23358 25806 31602 42823 57937 85646 89539 115874 128469 172603 173811 179078 256938 268617 345206 347622 517809 537234 984929 1035618 1898633 1969858 2934251 2954787 3797266 3969869 5695899 5868502 5909574 7939738 8802753 11391798 11909607 17605506 23819214 32276761 39526087 43668559 64553522 67487773 79052174 87337118 96830283 118578261 131005677 134975546 193660566 202463319 237156522 262011354 404926638 434786957 671943479 742365503 869573914 909100001 1304360871 1343886958 1484731006 1818200002 2015830437 2227096509 2608721742 2727300003 4031660874 4454193018 5454600006 7391378269 10000100011 14782756538 15454700017 20000200022 22174134807 30000300033 30909400034 44348269614 46364100051 60000600066 92728200102 170001700187 340003400374 510005100561 1020010201122