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1001202206100 = 22352231371059137
BaseRepresentation
bin11101001000111000100…
…11010100010110010100
310112201021111120211012220
432210130103110112110
5112400430231043400
62043540153542340
7132222503223045
oct16443423242624
93481244524186
101001202206100
113566755a9158
121420587149b0
137354a3831b5
143665bd8c8cc
151b09c08a7a0
hexe91c4d4594

1001202206100 has 144 divisors (see below), whose sum is σ = 3044826868608. Its totient is φ = 253514792960.

The previous prime is 1001202206099. The next prime is 1001202206101. The reversal of 1001202206100 is 16022021001.

It is an interprime number because it is at equal distance from previous prime (1001202206099) and next prime (1001202206101).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1001202206100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001202206101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 415732 + ... + 1474868.

It is an arithmetic number, because the mean of its divisors is an integer number (21144631032).

Almost surely, 21001202206100 is an apocalyptic number.

1001202206100 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 1001202206100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522413434304).

1001202206100 is an abundant number, since it is smaller than the sum of its proper divisors (2043624662508).

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

1001202206100 is a wasteful number, since it uses less digits than its factorization.

1001202206100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059314 (or 1059307 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1001202206100 its reverse (16022021001), we get a palindrome (1017224227101).

The spelling of 1001202206100 in words is "one trillion, one billion, two hundred two million, two hundred six thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 137 138 150 230 274 276 300 345 411 460 548 575 685 690 822 1150 1370 1380 1644 1725 2055 2300 2740 3151 3425 3450 4110 6302 6850 6900 8220 9453 10275 12604 13700 15755 18906 20550 31510 37812 41100 47265 63020 78775 94530 157550 189060 236325 315100 472650 945300 1059137 2118274 3177411 4236548 5295685 6354822 10591370 12709644 15887055 21182740 24360151 26478425 31774110 48720302 52956850 63548220 73080453 79435275 97440604 105913700 121800755 145101769 146160906 158870550 243601510 290203538 292321812 317741100 365402265 435305307 487203020 580407076 609003775 725508845 730804530 870610614 1218007550 1451017690 1461609060 1741221228 1827011325 2176526535 2436015100 2902035380 3337340687 3627544225 3654022650 4353053070 6674681374 7255088450 7308045300 8706106140 10012022061 10882632675 13349362748 14510176900 16686703435 20024044122 21765265350 33373406870 40048088244 43530530700 50060110305 66746813740 83433517175 100120220610 166867034350 200240441220 250300551525 333734068700 500601103050 1001202206100