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102000221112220 = 22597353479310949
BaseRepresentation
bin10111001100010011000110…
…111100100100011110011100
3111101011010101210020001012021
4113030103012330210132130
5101332132423101042340
61000534131002545524
730325162365105334
oct2714230674443634
9441133353201167
10102000221112220
112a55606174a932
12b5343ab8082a4
1344bb76c447042
141b28ba0bbc0c4
15bbd3d6dc6e4a
hex5cc4c6f2479c

102000221112220 has 96 divisors (see below), whose sum is σ = 217475544384000. Its totient is φ = 40180889616384.

The previous prime is 102000221112103. The next prime is 102000221112227. The reversal of 102000221112220 is 22211122000201.

It is a happy number.

It is a super-2 number, since 2×1020002211122202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102000221112194 and 102000221112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000221112227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327873306 + ... + 328184254.

It is an arithmetic number, because the mean of its divisors is an integer number (2265370254000).

Almost surely, 2102000221112220 is an apocalyptic number.

102000221112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000221112220 is an abundant number, since it is smaller than the sum of its proper divisors (115475323271780).

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

102000221112220 is a wasteful number, since it uses less digits than its factorization.

102000221112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311887 (or 311885 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102000221112220 its reverse (22211122000201), we get a palindrome (124211343112421).

The spelling of 102000221112220 in words is "one hundred two trillion, two hundred twenty-one million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 97 194 353 388 479 485 706 958 970 1412 1765 1916 1940 2395 3530 4790 7060 9580 34241 46463 68482 92926 136964 169087 171205 185852 232315 310949 338174 342410 464630 621898 676348 684820 845435 929260 1243796 1554745 1690870 3109490 3381740 6218980 16401439 30162053 32802878 60324106 65605756 82007195 109764997 120648212 148944571 150810265 164014390 219529994 297889142 301620530 328028780 439059988 548824985 595778284 603241060 744722855 1097649970 1489445710 2195299940 2978891420 10647204709 14447623387 21294409418 28895246774 42588818836 52577433563 53236023545 57790493548 72238116935 105154867126 106472047090 144476233870 210309734252 212944094180 262887167815 288952467740 525774335630 1051548671260 5100011055611 10200022111222 20400044222444 25500055278055 51000110556110 102000221112220