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10222002211122 = 2341343112877959
BaseRepresentation
bin1001010010111111111011…
…0011111000100100110010
31100012012202220120001220000
42110233332303320210302
52314434130031223442
633423531210530430
72103341513116362
oct224577663704462
940165686501800
1010222002211122
113291143841079
121191113a36a16
13591c138c1c20
14274a673a89a2
1512ad6ecd0d4c
hex94bfecf8932

10222002211122 has 80 divisors (see below), whose sum is σ = 25240414879680. Its totient is φ = 3072086504928.

The previous prime is 10222002211117. The next prime is 10222002211123. The reversal of 10222002211122 is 22111220022201.

It is a happy number.

10222002211122 is a `hidden beast` number, since 102 + 220 + 0 + 221 + 1 + 122 = 666.

It is a super-3 number, since 3×102220022111223 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10222002211095 and 10222002211104.

It is not an unprimeable number, because it can be changed into a prime (10222002211123) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 56348422 + ... + 56529537.

It is an arithmetic number, because the mean of its divisors is an integer number (315505185996).

Almost surely, 210222002211122 is an apocalyptic number.

10222002211122 is an abundant number, since it is smaller than the sum of its proper divisors (15018412668558).

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

10222002211122 is a wasteful number, since it uses less digits than its factorization.

10222002211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112878029 (or 112878020 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10222002211122 its reverse (22111220022201), we get a palindrome (32333222233323).

The spelling of 10222002211122 in words is "ten trillion, two hundred twenty-two billion, two million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 43 54 78 81 86 117 129 162 234 258 351 387 559 702 774 1053 1118 1161 1677 2106 2322 3354 3483 5031 6966 10062 15093 30186 45279 90558 112877959 225755918 338633877 677267754 1015901631 1467413467 2031803262 2934826934 3047704893 4402240401 4853752237 6095409786 8804480802 9143114679 9707504474 13206721203 14561256711 18286229358 26413442406 29122513422 39620163609 43683770133 63098779081 79240327218 87367540266 118860490827 126197558162 131051310399 189296337243 237720981654 262102620798 378592674486 393153931197 567889011729 786307862394 1135778023458 1703667035187 3407334070374 5111001105561 10222002211122