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991090100100 = 2235210730875081
BaseRepresentation
bin11100110110000011001…
…00101100011110000100
310111202011202212121120110
432123001210230132010
5112214223031200400
62035144524233020
7131414064565332
oct16330144543604
93452152777513
10991090100100
11352356584261
121400b609b770
13725c83a3c19
1435d7cda6b52
151aba9435e50
hexe6c192c784

991090100100 has 72 divisors (see below), whose sum is σ = 2894353687008. Its totient is φ = 261820678400.

The previous prime is 991090100087. The next prime is 991090100113. The reversal of 991090100100 is 1001090199.

It is an interprime number because it is at equal distance from previous prime (991090100087) and next prime (991090100113).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 15405441 + ... + 15469640.

It is an arithmetic number, because the mean of its divisors is an integer number (40199356764).

Almost surely, 2991090100100 is an apocalyptic number.

It is an amenable number.

991090100100 is an abundant number, since it is smaller than the sum of its proper divisors (1903263586908).

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

991090100100 is a wasteful number, since it uses less digits than its factorization.

991090100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30875205 (or 30875198 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 30.

Adding to 991090100100 its reverse (1001090199), we get a palindrome (992091190299).

The spelling of 991090100100 in words is "nine hundred ninety-one billion, ninety million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 107 150 214 300 321 428 535 642 1070 1284 1605 2140 2675 3210 5350 6420 8025 10700 16050 32100 30875081 61750162 92625243 123500324 154375405 185250486 308750810 370500972 463126215 617501620 771877025 926252430 1543754050 1852504860 2315631075 3087508100 3303633667 4631262150 6607267334 9262524300 9910901001 13214534668 16518168335 19821802002 33036336670 39643604004 49554505005 66072673340 82590841675 99109010010 165181683350 198218020020 247772525025 330363366700 495545050050 991090100100