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202420213204041 = 3372099808963079
BaseRepresentation
bin101110000001100110100000…
…111001110100010001001001
3222112201011221200202102202000
4232001212200321310101021
5203012423044040012131
61554302321233501213
760431243404160610
oct5601464071642111
9875634850672660
10202420213204041
1159551a262a6938
121a852487a11809
1388c41b4a67541
1437db294dba877
151860633297ce6
hexb819a0e74449

202420213204041 has 64 divisors (see below), whose sum is σ = 342933158400000. Its totient is φ = 115597461384576.

The previous prime is 202420213203983. The next prime is 202420213204087. The reversal of 202420213204041 is 140402312024202.

It is a happy number.

202420213204041 is a `hidden beast` number, since 2 + 0 + 2 + 4 + 20 + 213 + 20 + 404 + 1 = 666.

It is not a de Polignac number, because 202420213204041 - 218 = 202420212941897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 202420213203996 and 202420213204014.

It is not an unprimeable number, because it can be changed into a prime (202420213209041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3208963740 + ... + 3209026818.

It is an arithmetic number, because the mean of its divisors is an integer number (5358330600000).

Almost surely, 2202420213204041 is an apocalyptic number.

202420213204041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

202420213204041 is a deficient number, since it is larger than the sum of its proper divisors (140512945195959).

202420213204041 is a wasteful number, since it uses less digits than its factorization.

202420213204041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73283 (or 73277 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 202420213204041 its reverse (140402312024202), we get a palindrome (342822525228243).

The spelling of 202420213204041 in words is "two hundred two trillion, four hundred twenty billion, two hundred thirteen million, two hundred four thousand, forty-one".

Divisors: 1 3 7 9 21 27 63 189 2099 6297 8089 14693 18891 24267 44079 56623 56673 63079 72801 132237 169869 189237 218403 396711 441553 509607 567711 1324659 1528821 1703133 3973977 11921931 16978811 50936433 118851677 132402821 152809299 356555031 397208463 458427897 510246031 926819747 1069665093 1191625389 1530738093 2780459241 3208995279 3571722217 3574876167 4592214279 8341377723 10715166651 13776642837 25024133169 32145499953 96436499859 1071006419069 3213019257207 7497044933483 9639057771621 22491134800449 28917173314863 67473404401347 202420213204041