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1010202200020 = 2251325744334127
BaseRepresentation
bin11101011001101001011…
…11100100011111010100
310120120111201122212220001
432230310233210133110
5113022343230400040
62052025215021044
7132661516010266
oct16546457443724
93516451585801
101010202200020
1135a473895862
1214394a80a784
1374352b307a0
1436c733a1b36
151b42726559a
hexeb34be47d4

1010202200020 has 96 divisors (see below), whose sum is σ = 2298745225728. Its totient is φ = 370696814592.

The previous prime is 1010202200011. The next prime is 1010202200023. The reversal of 1010202200020 is 200022020101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010202200023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29584197 + ... + 29618323.

It is an arithmetic number, because the mean of its divisors is an integer number (23945262768).

Almost surely, 21010202200020 is an apocalyptic number.

1010202200020 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 1010202200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149372612864).

1010202200020 is an abundant number, since it is smaller than the sum of its proper divisors (1288543025708).

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

1010202200020 is a wasteful number, since it uses less digits than its factorization.

1010202200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34849 (or 34847 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1010202200020 its reverse (200022020101), we get a palindrome (1210224220121).

The spelling of 1010202200020 in words is "one trillion, ten billion, two hundred two million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 257 260 443 514 886 1028 1285 1772 2215 2570 3341 4430 5140 5759 6682 8860 11518 13364 16705 23036 28795 33410 34127 57590 66820 68254 113851 115180 136508 170635 227702 341270 443651 455404 569255 682540 887302 1138510 1480063 1774604 2218255 2277020 2960126 4436510 5920252 7400315 8770639 8873020 14800630 15118261 17541278 29601260 30236522 35082556 43853195 60473044 75591305 87706390 114018307 151182610 175412780 196537393 228036614 302365220 393074786 456073228 570091535 786149572 982686965 1140183070 1965373930 2280366140 3885393077 3930747860 7770786154 15541572308 19426965385 38853930770 50510110001 77707861540 101020220002 202040440004 252550550005 505101100010 1010202200020