Search a number
-
+
10120031202020 = 22517311078973409
BaseRepresentation
bin1001001101000100000011…
…0111010110101011100100
31022211110120101010002110012
42103101000313112223210
52311301310441431040
633305024514145352
72063101543622555
oct223210067265344
938743511102405
1010120031202020
11325197686a733
1211753b5b82258
13585412948a0c
1426db5267832c
151283a2a0d865
hex93440dd6ae4

10120031202020 has 96 divisors (see below), whose sum is σ = 23445151349760. Its totient is φ = 3652535992320.

The previous prime is 10120031201923. The next prime is 10120031202101. The reversal of 10120031202020 is 2020213002101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10120031201986 and 10120031202004.

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, 3358925 + ... + 5614484.

It is an arithmetic number, because the mean of its divisors is an integer number (244220326560).

Almost surely, 210120031202020 is an apocalyptic number.

10120031202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120031202020 is an abundant number, since it is smaller than the sum of its proper divisors (13325120147740).

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

10120031202020 is a wasteful number, since it uses less digits than its factorization.

10120031202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8973573 (or 8973571 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10120031202020 its reverse (2020213002101), we get a palindrome (12140244204121).

The spelling of 10120031202020 in words is "ten trillion, one hundred twenty billion, thirty-one million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 107 124 155 170 214 310 340 428 527 535 620 1054 1070 1819 2108 2140 2635 3317 3638 5270 6634 7276 9095 10540 13268 16585 18190 33170 36380 56389 66340 112778 225556 281945 563890 1127780 8973409 17946818 35893636 44867045 89734090 152547953 179468180 278175679 305095906 556351358 610191812 762739765 960154763 1112702716 1390878395 1525479530 1920309526 2781756790 3050959060 3840619052 4728986543 4800773815 5563513580 9457973086 9601547630 16322630971 18915946172 19203095260 23644932715 29764797653 32645261942 47289865430 59529595306 65290523884 81613154855 94579730860 119059190612 148823988265 163226309710 297647976530 326452619420 506001560101 595295953060 1012003120202 2024006240404 2530007800505 5060015601010 10120031202020