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202103020032 = 293414768281
BaseRepresentation
bin1011110000111001000…
…1110101101000000000
3201022122220111011122020
42330032101311220000
511302401333120112
6232502253041440
720413205216514
oct2741621655000
9638586434566
10202103020032
1178790982291
1233203a86280
131609ac26824
149ad3516144
1553ccdd648c
hex2f0e475a00

202103020032 has 160 divisors (see below), whose sum is σ = 563290447104. Its totient is φ = 64325222400.

The previous prime is 202103019983. The next prime is 202103020057. The reversal of 202103020032 is 230020301202.

It is a junction number, because it is equal to n+sod(n) for n = 202103019993 and 202103020020.

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, 2925732 + ... + 2994012.

Almost surely, 2202103020032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202103020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281645223552).

202103020032 is an abundant number, since it is smaller than the sum of its proper divisors (361187427072).

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

202103020032 is an equidigital number, since it uses as much as digits as its factorization.

202103020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68390 (or 68374 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 202103020032 its reverse (230020301202), we get a palindrome (432123321234).

The spelling of 202103020032 in words is "two hundred two billion, one hundred three million, twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 47 48 64 82 94 96 123 128 141 164 188 192 246 256 282 328 376 384 492 512 564 656 752 768 984 1128 1312 1504 1536 1927 1968 2256 2624 3008 3854 3936 4512 5248 5781 6016 7708 7872 9024 10496 11562 12032 15416 15744 18048 20992 23124 24064 30832 31488 36096 46248 61664 62976 68281 72192 92496 123328 136562 184992 204843 246656 273124 369984 409686 493312 546248 739968 819372 986624 1092496 1479936 1638744 2184992 2799521 2959872 3209207 3277488 4369984 5599042 6418414 6554976 8398563 8739968 9627621 11198084 12836828 13109952 16797126 17479936 19255242 22396168 25673656 26219904 33594252 34959872 38510484 44792336 51347312 52439808 67188504 77020968 89584672 102694624 104879616 131577487 134377008 154041936 179169344 205389248 263154974 268754016 308083872 358338688 394732461 410778496 526309948 537508032 616167744 716677376 789464922 821556992 1052619896 1075016064 1232335488 1433354752 1578929844 1643113984 2105239792 2150032128 2464670976 3157859688 4210479584 4300064256 4929341952 6315719376 8420959168 12631438752 16841918336 25262877504 33683836672 50525755008 67367673344 101051510016 202103020032