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10202202140 = 2251325356951
BaseRepresentation
bin10011000000001100…
…10100000000011100
3222100000020120022112
421200012110000130
5131343230432030
64404204333152
7510551200364
oct114006240034
928300216275
1010202202140
114365971519
121b888441b8
13c67865c00
146cad599a4
153ea9eea95
hex26019401c

10202202140 has 72 divisors (see below), whose sum is σ = 23637585888. Its totient is φ = 3695827200.

The previous prime is 10202202119. The next prime is 10202202169. The reversal of 10202202140 is 4120220201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150665 + ... + 207615.

It is an arithmetic number, because the mean of its divisors is an integer number (328299804).

Almost surely, 210202202140 is an apocalyptic number.

10202202140 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 10202202140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11818792944).

10202202140 is an abundant number, since it is smaller than the sum of its proper divisors (13435383748).

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

10202202140 is a wasteful number, since it uses less digits than its factorization.

10202202140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57039 (or 57024 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10202202140 its reverse (4120220201), we get a palindrome (14322422341).

The spelling of 10202202140 in words is "ten billion, two hundred two million, two hundred two thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 169 212 260 265 338 530 676 689 845 1060 1378 1690 2756 3380 3445 6890 8957 13780 17914 35828 44785 56951 89570 113902 179140 227804 284755 569510 740363 1139020 1480726 2961452 3018403 3701815 6036806 7403630 9624719 12073612 14807260 15092015 19249438 30184030 38498876 39239239 48123595 60368060 78478478 96247190 156956956 192494380 196196195 392392390 510110107 784784780 1020220214 2040440428 2550550535 5101101070 10202202140