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10202421420020 = 22537149123175167
BaseRepresentation
bin1001010001110110111110…
…1101000101111111110100
31100010100020021211211010202
42110131233231011333310
52314124024340420040
633410532214340032
72102046341130014
oct224355755057764
940110207754122
1010202421420020
113283905a07995
12118936a35a618
13590113022bbb
14273b2aa47c44
1512a5c5c70015
hex9476fb45ff4

10202421420020 has 96 divisors (see below), whose sum is σ = 22170110054400. Its totient is φ = 3940766968320.

The previous prime is 10202421420019. The next prime is 10202421420031. The reversal of 10202421420020 is 2002412420201.

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 = 10202421419974 and 10202421420001.

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, 135692477 + ... + 135767643.

It is an arithmetic number, because the mean of its divisors is an integer number (230938646400).

Almost surely, 210202421420020 is an apocalyptic number.

10202421420020 is a gapful number since it is divisible by the number (10) 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 10202421420020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11085055027200).

10202421420020 is an abundant number, since it is smaller than the sum of its proper divisors (11967688634380).

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

10202421420020 is a wasteful number, since it uses less digits than its factorization.

10202421420020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76593 (or 76591 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10202421420020 its reverse (2002412420201), we get a palindrome (12204833840221).

The spelling of 10202421420020 in words is "ten trillion, two hundred two billion, four hundred twenty-one million, four hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 149 185 298 370 596 740 745 1231 1490 2462 2980 4924 5513 6155 11026 12310 22052 24620 27565 45547 55130 75167 91094 110260 150334 182188 183419 227735 300668 366838 375835 455470 733676 751670 910940 917095 1503340 1834190 2781179 3668380 5562358 6786503 11124716 11199883 13573006 13905895 22399766 27146012 27811790 33932515 44799532 55623580 55999415 67865030 92530577 111998830 135730060 185061154 223997660 370122308 414395671 462652885 828791342 925305770 1657582684 1850611540 2071978355 3423631349 4143956710 6847262698 8287913420 13694525396 13787055973 17118156745 27574111946 34236313490 55148223892 68472626980 68935279865 137870559730 275741119460 510121071001 1020242142002 2040484284004 2550605355005 5101210710010 10202421420020