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202301141021120 = 2652753578339709
BaseRepresentation
bin101101111111110111100111…
…101001011111000111000000
3222112021210121100102211000002
4231333313213221133013000
5203004000214100133440
61554131510003415132
760416526602261351
oct5577674751370700
9875253540384002
10202301141021120
1159506483143499
121a8333969844a8
1388b5bb9b6607b
1437d55dad91d28
15185c4b49b6115
hexb7fde7a5f1c0

202301141021120 has 112 divisors (see below), whose sum is σ = 482000044806720. Its totient is φ = 80875038375936.

The previous prime is 202301141021087. The next prime is 202301141021131. The reversal of 202301141021120 is 21120141103202.

202301141021120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 202301141021092 and 202301141021101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5094571826 + ... + 5094611534.

Almost surely, 2202301141021120 is an apocalyptic number.

202301141021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202301141021120 is an abundant number, since it is smaller than the sum of its proper divisors (279698903785600).

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

202301141021120 is a wasteful number, since it uses less digits than its factorization.

202301141021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48262 (or 48252 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 202301141021120 its reverse (21120141103202), we get a palindrome (223421282124322).

The spelling of 202301141021120 in words is "two hundred two trillion, three hundred one billion, one hundred forty-one million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 2753 5506 5783 11012 11566 13765 22024 23132 27530 28915 39709 44048 46264 55060 57830 79418 88096 92528 110120 115660 158836 176192 185056 198545 220240 231320 317672 370112 397090 440480 462640 635344 794180 880960 925280 1270688 1588360 1850560 2541376 3176720 6353440 12706880 15920599 31841198 63682396 79602995 109318877 127364792 159205990 218637754 229637147 254729584 318411980 437275508 459274294 509459168 546594385 636823960 874551016 918548588 1018918336 1093188770 1148185735 1273647920 1749102032 1837097176 2186377540 2296371470 2547295840 3498204064 3674194352 4372755080 4592742940 5094591680 6996408128 7348388704 8745510160 9185485880 14696777408 17491020320 18370971760 34982040640 36741943520 73483887040 632191065691 1264382131382 2528764262764 3160955328455 5057528525528 6321910656910 10115057051056 12643821313820 20230114102112 25287642627640 40460228204224 50575285255280 101150570510560 202301141021120