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202032121020 = 22358365961561
BaseRepresentation
bin1011110000101000001…
…1011000010010111100
3201022110222002010110220
42330022003120102330
511302230210333040
6232451241301340
720411354460042
oct2741203302274
9638428063426
10202032121020
1178754957864
12331a4194850
1316089331a52
149ac7d3c392
1553c6a7e2d0
hex2f0a0d84bc

202032121020 has 96 divisors (see below), whose sum is σ = 573383543040. Its totient is φ = 53144501760.

The previous prime is 202032121007. The next prime is 202032121043. The reversal of 202032121020 is 20121230202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3251040 + ... + 3312600.

It is an arithmetic number, because the mean of its divisors is an integer number (5972745240).

Almost surely, 2202032121020 is an apocalyptic number.

202032121020 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 202032121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286691771520).

202032121020 is an abundant number, since it is smaller than the sum of its proper divisors (371351422020).

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

202032121020 is a wasteful number, since it uses less digits than its factorization.

202032121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62315 (or 62313 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 202032121020 its reverse (20121230202), we get a palindrome (222153351222).

The spelling of 202032121020 in words is "two hundred two billion, thirty-two million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 659 830 996 1245 1318 1660 1977 2490 2636 3295 3954 4980 6590 7908 9885 13180 19770 39540 54697 61561 109394 123122 164091 184683 218788 246244 273485 307805 328182 369366 546970 615610 656364 738732 820455 923415 1093940 1231220 1640910 1846830 3281820 3693660 5109563 10219126 15328689 20438252 25547815 30657378 40568699 51095630 61314756 76643445 81137398 102191260 121706097 153286890 162274796 202843495 243412194 306573780 405686990 486824388 608530485 811373980 1217060970 2434121940 3367202017 6734404034 10101606051 13468808068 16836010085 20203212102 33672020170 40406424204 50508030255 67344040340 101016060510 202032121020