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202202121120020 = 225761179132274097
BaseRepresentation
bin101101111110011011011001…
…100110100010100100010100
3222111221100000111000122200122
4231332123121212202210110
5203000334421001320040
61554014212211331112
760406423026066140
oct5576333146424424
9874840014018618
10202202121120020
115947848aa7918a
121a8181612b0a98
1388a9769416408
1437d08c617c220
151859b1b82b1b5
hexb7e6d99a2914

202202121120020 has 96 divisors (see below), whose sum is σ = 495996121716480. Its totient is φ = 67808992573440.

The previous prime is 202202121119819. The next prime is 202202121120029. The reversal of 202202121120020 is 20021121202202.

It is a happy number.

202202121120020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202202121120029) 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, 64608389 + ... + 67665708.

It is an arithmetic number, because the mean of its divisors is an integer number (5166626267880).

Almost surely, 2202202121120020 is an apocalyptic number.

202202121120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202202121120020 is an abundant number, since it is smaller than the sum of its proper divisors (293794000596460).

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

202202121120020 is a wasteful number, since it uses less digits than its factorization.

202202121120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132274353 (or 132274351 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 202202121120020 its reverse (20021121202202), we get a palindrome (222223242322222).

The spelling of 202202121120020 in words is "two hundred two trillion, two hundred two billion, one hundred twenty-one million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 179 244 305 358 427 610 716 854 895 1220 1253 1708 1790 2135 2506 3580 4270 5012 6265 8540 10919 12530 21838 25060 43676 54595 76433 109190 152866 218380 305732 382165 764330 1528660 132274097 264548194 529096388 661370485 925918679 1322740970 1851837358 2645481940 3703674716 4629593395 8068719917 9259186790 16137439834 18518373580 23677063363 32274879668 40343599585 47354126726 56481039419 80687199170 94708253452 112962078838 118385316815 161374398340 165739443541 225924157676 236770633630 282405197095 331478887082 473541267260 564810394190 662957774164 828697217705 1129620788380 1444300865143 1657394435410 2888601730286 3314788870820 5777203460572 7221504325715 10110106056001 14443008651430 20220212112002 28886017302860 40440424224004 50550530280005 101101060560010 202202121120020