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10001203032120 = 23352310873333601
BaseRepresentation
bin1001000110001001011000…
…1001110111000000111000
31022102002212000221121122120
42101202112021313000320
52302324430434011440
633134253402121240
72051364064061466
oct221422611670070
938362760847576
1010001203032120
113206539420943
1211563727b0220
13577156471b51
142680bcc0b836
1512524a87bdd0
hex91896277038

10001203032120 has 128 divisors (see below), whose sum is σ = 31336925552640. Its totient is φ = 2548683878400.

The previous prime is 10001203032091. The next prime is 10001203032167. The reversal of 10001203032120 is 2123030210001.

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 10001203032120.

It is a congruent number.

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, 1333320 + ... + 4666920.

It is an arithmetic number, because the mean of its divisors is an integer number (244819730880).

Almost surely, 210001203032120 is an apocalyptic number.

10001203032120 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 10001203032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15668462776320).

10001203032120 is an abundant number, since it is smaller than the sum of its proper divisors (21335722520520).

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

10001203032120 is a wasteful number, since it uses less digits than its factorization.

10001203032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334725 (or 3334721 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10001203032120 its reverse (2123030210001), we get a palindrome (12124233242121).

The spelling of 10001203032120 in words is "ten trillion, one billion, two hundred three million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1087 1380 2174 2760 3261 4348 5435 6522 8696 10870 13044 16305 21740 25001 26088 32610 43480 50002 65220 75003 100004 125005 130440 150006 200008 250010 300012 375015 500020 600024 750030 1000040 1500060 3000120 3333601 6667202 10000803 13334404 16668005 20001606 26668808 33336010 40003212 50004015 66672020 76672823 80006424 100008030 133344040 153345646 200016060 230018469 306691292 383364115 400032120 460036938 613382584 766728230 920073876 1150092345 1533456460 1840147752 2300184690 3066912920 3623624287 4600369380 7247248574 9200738760 10870872861 14494497148 18118121435 21741745722 28988994296 36236242870 43483491444 54354364305 72472485740 83343358601 86966982888 108708728610 144944971480 166686717202 217417457220 250030075803 333373434404 416716793005 434834914440 500060151606 666746868808 833433586010 1000120303212 1250150379015 1666867172020 2000240606424 2500300758030 3333734344040 5000601516060 10001203032120