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100220001020022 = 2313101113199565727
BaseRepresentation
bin10110110010011001001001…
…100011110110100001110110
3111010211221100012001022020110
4112302121021203312201312
5101114001030230120042
6553052233300043450
730052441024022052
oct2662311143664166
9433757305038213
10100220001020022
1129a2a077933794
12b2a7383693586
1343bc9231090c0
141aa69613a2c62
15b8be43b1209c
hex5b26498f6876

100220001020022 has 128 divisors (see below), whose sum is σ = 221030382182400. Its totient is φ = 30109295462400.

The previous prime is 100220001020017. The next prime is 100220001020107. The reversal of 100220001020022 is 220020100022001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 176869723 + ... + 177435449.

It is an arithmetic number, because the mean of its divisors is an integer number (1726799860800).

Almost surely, 2100220001020022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100220001020022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110515191091200).

100220001020022 is an abundant number, since it is smaller than the sum of its proper divisors (120810381162378).

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

100220001020022 is a wasteful number, since it uses less digits than its factorization.

100220001020022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566158.

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

Adding to 100220001020022 its reverse (220020100022001), we get a palindrome (320240101042023).

The spelling of 100220001020022 in words is "one hundred trillion, two hundred twenty billion, one million, twenty thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 78 101 113 199 202 226 303 339 398 597 606 678 1194 1313 1469 2587 2626 2938 3939 4407 5174 7761 7878 8814 11413 15522 20099 22487 22826 34239 40198 44974 60297 67461 68478 120594 134922 148369 261287 292331 296738 445107 522574 565727 584662 783861 876993 890214 1131454 1567722 1697181 1753986 2271187 3394362 4542374 6813561 7354451 13627122 14708902 22063353 29525431 44126706 57138427 59050862 63927151 88576293 112579673 114276854 127854302 171415281 177152586 191781453 225159346 337739019 342830562 383562906 675478038 742799551 831052963 1463535749 1485599102 1662105926 2228398653 2493158889 2927071498 4390607247 4456797306 4986317778 6456642251 8781214494 11370546973 12721503049 12913284502 19369926753 22741093946 25443006098 34111640919 38164509147 38739853506 68223281838 76329018294 83936349263 147817110649 165379539637 167872698526 251809047789 295634221298 330759079274 443451331947 496138618911 503618095578 886902663894 992277237822 1284871807949 2569743615898 3854615423847 7709230847694 16703333503337 33406667006674 50110000510011 100220001020022