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1010020002222 = 2371153409100853
BaseRepresentation
bin11101011001010011110…
…00100010100110101110
310120120001000211021111110
432230221320202212232
5113022010110032342
62051555145532450
7132654144236340
oct16545170424656
93516030737443
101010020002222
1135a38aa61970
121438b97a4126
137432416a43a
1436c570d5290
151b416275c9c
hexeb29e229ae

1010020002222 has 128 divisors (see below), whose sum is σ = 2572309509120. Its totient is φ = 256761123840.

The previous prime is 1010020002221. The next prime is 1010020002281. The reversal of 1010020002222 is 2222000200101.

It is a junction number, because it is equal to n+sod(n) for n = 1010020002198 and 1010020002207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010020002221) 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, 9964348 + ... + 10065200.

It is an arithmetic number, because the mean of its divisors is an integer number (20096168040).

Almost surely, 21010020002222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010020002222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286154754560).

1010020002222 is an abundant number, since it is smaller than the sum of its proper divisors (1562289506898).

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

1010020002222 is a wasteful number, since it uses less digits than its factorization.

1010020002222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101338.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1010020002222 its reverse (2222000200101), we get a palindrome (3232020202323).

The spelling of 1010020002222 in words is "one trillion, ten billion, twenty million, two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 53 66 77 106 154 159 231 318 371 409 462 583 742 818 1113 1166 1227 1749 2226 2454 2863 3498 4081 4499 5726 8162 8589 8998 12243 13497 17178 21677 24486 26994 31493 43354 62986 65031 94479 100853 130062 151739 188958 201706 238447 302559 303478 455217 476894 605118 705971 715341 910434 1109383 1411942 1430682 1669129 2117913 2218766 3328149 3338258 4235826 5007387 5345209 6656298 7765681 10014774 10690418 15531362 16035627 23297043 32071254 37416463 41248877 46594086 58797299 74832926 82497754 112249389 117594598 123746631 176391897 224498778 247493262 288742139 352783794 411581093 453737647 577484278 823162186 866226417 907475294 1234743279 1361212941 1732452834 2186190481 2469486558 2722425882 3176163529 4372380962 6352327058 6558571443 9528490587 13117142886 15303333367 19056981174 24048095291 30606666734 45910000101 48096190582 72144285873 91820000202 144288571746 168336667037 336673334074 505010001111 1010020002222