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202101201020 = 225232694014073
BaseRepresentation
bin1011110000111000101…
…0111001100001111100
3201022122210001202102102
42330032022321201330
511302400401413040
6232502150044232
720413153602335
oct2741612714174
9638583052372
10202101201020
117878a94a674
1233203349678
131609a73a8a4
149ad31a128c
1553ccb77515
hex2f0e2b987c

202101201020 has 96 divisors (see below), whose sum is σ = 445729495680. Its totient is φ = 76827238400.

The previous prime is 202101200993. The next prime is 202101201053. The reversal of 202101201020 is 20102101202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 202101200992 and 202101201010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49617704 + ... + 49621776.

It is an arithmetic number, because the mean of its divisors is an integer number (4643015580).

Almost surely, 2202101201020 is an apocalyptic number.

202101201020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202101201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222864747840).

202101201020 is an abundant number, since it is smaller than the sum of its proper divisors (243628294660).

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

202101201020 is a wasteful number, since it uses less digits than its factorization.

202101201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4775 (or 4773 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 202101201020 its reverse (20102101202), we get a palindrome (222203302222).

The spelling of 202101201020 in words is "two hundred two billion, one hundred one million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 269 401 460 538 802 1076 1345 1604 2005 2690 4010 4073 5380 6187 8020 8146 9223 12374 16292 18446 20365 24748 30935 36892 40730 46115 61870 81460 92230 93679 107869 123740 184460 187358 215738 374716 431476 468395 539345 936790 1078690 1095637 1633273 1873580 2157380 2191274 2480987 3266546 4382548 4961974 5478185 6533092 8166365 9923948 10956370 12404935 16332730 21912740 24809870 25199651 32665460 37565279 49619740 50399302 75130558 100798604 125998255 150261116 187826395 251996510 375652790 439350437 503993020 751305580 878700874 1757401748 2196752185 4393504370 8787008740 10105060051 20210120102 40420240204 50525300255 101050600510 202101201020