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2230122040100 = 225231777599067
BaseRepresentation
bin100000011100111101101…
…000011100101100100100
321220012100001001201101022
4200130331220130230210
5243014242220240400
64424300502550312
7320056334366663
oct40347550345444
97805301051338
102230122040100
1178a8758305a9
12300267438398
131323b8307cc6
1479d1d2a6dda
153d025b35b85
hex2073da1cb24

2230122040100 has 72 divisors (see below), whose sum is σ = 4855792126080. Its totient is φ = 889022113920.

The previous prime is 2230122040039. The next prime is 2230122040147. The reversal of 2230122040100 is 10402210322.

It is a super-3 number, since 3×22301220401003 (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245955767 + ... + 245964833.

Almost surely, 22230122040100 is an apocalyptic number.

2230122040100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2230122040100 is an abundant number, since it is smaller than the sum of its proper divisors (2625670085980).

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

2230122040100 is a wasteful number, since it uses less digits than its factorization.

2230122040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17157 (or 17150 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 2230122040100 its reverse (10402210322), we get a palindrome (2240524250422).

The spelling of 2230122040100 in words is "two trillion, two hundred thirty billion, one hundred twenty-two million, forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 317 634 1268 1585 3170 6340 7759 7925 9067 15518 15850 18134 31036 31700 36268 38795 45335 77590 90670 155180 181340 193975 226675 387950 453350 775900 906700 2459603 2874239 4919206 5748478 9838412 11496956 12298015 14371195 24596030 28742390 49192060 57484780 61490075 70350853 71855975 122980150 140701706 143711950 245960300 281403412 287423900 351754265 703508530 1407017060 1758771325 3517542650 7035085300 22301220401 44602440802 89204881604 111506102005 223012204010 446024408020 557530510025 1115061020050 2230122040100