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1001102210020 = 2251125130895869
BaseRepresentation
bin11101001000101100101…
…01110111001111100100
310112201000112102111101101
432210112111313033210
5112400224131210040
62043522222405444
7132220150245223
oct16442625671744
93481015374341
101001102210020
1135662410a670
1214202b130884
1373532741413
143664c99ccba
151b0933d709a
hexe9165773e4

1001102210020 has 96 divisors (see below), whose sum is σ = 2303709206400. Its totient is φ = 362407680000.

The previous prime is 1001102209999. The next prime is 1001102210131. The reversal of 1001102210020 is 200122011001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1001102209979 and 1001102210006.

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, 170571646 + ... + 170577514.

It is an arithmetic number, because the mean of its divisors is an integer number (23996970900).

Almost surely, 21001102210020 is an apocalyptic number.

1001102210020 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 1001102210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151854603200).

1001102210020 is an abundant number, since it is smaller than the sum of its proper divisors (1302606996380).

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

1001102210020 is a wasteful number, since it uses less digits than its factorization.

1001102210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9229 (or 9227 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1001102210020 its reverse (200122011001), we get a palindrome (1201224221021).

The spelling of 1001102210020 in words is "one trillion, one billion, one hundred two million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 251 502 1004 1255 2510 2761 3089 5020 5522 5869 6178 11044 11738 12356 13805 15445 23476 27610 29345 30890 33979 55220 58690 61780 64559 67958 117380 129118 135916 169895 258236 322795 339790 645590 679580 775339 1291180 1473119 1550678 2946238 3101356 3876695 5892476 7365595 7753390 8528729 14731190 15506780 16204309 17057458 18129341 29462380 32408618 34114916 36258682 42643645 64817236 72517364 81021545 85287290 90646705 162043090 170574580 181293410 199422751 324086180 362586820 398845502 797691004 997113755 1994227510 3988455020 4550464591 9100929182 18201858364 22752322955 45504645910 50055110501 91009291820 100110221002 200220442004 250275552505 500551105010 1001102210020