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151001701120 = 2854111325463
BaseRepresentation
bin1000110010100001100…
…1110001101100000000
3112102202120100012111001
42030220121301230000
54433222413413440
6153211430301344
713623651165454
oct2145031615400
9472676305431
10151001701120
1159048584016
12253221b7854
1311315c63a0a
147446822664
153ddb9e9b9a
hex2328671b00

151001701120 has 144 divisors (see below), whose sum is σ = 373811723712. Its totient is φ = 58403717120.

The previous prime is 151001701093. The next prime is 151001701121. The reversal of 151001701120 is 21107100151.

It is a super-2 number, since 2×1510017011202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (151001701121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5917509 + ... + 5942971.

It is an arithmetic number, because the mean of its divisors is an integer number (2595914748).

Almost surely, 2151001701120 is an apocalyptic number.

151001701120 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 151001701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186905861856).

151001701120 is an abundant number, since it is smaller than the sum of its proper divisors (222810022592).

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

151001701120 is a wasteful number, since it uses less digits than its factorization.

151001701120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25638 (or 25624 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 19.

Adding to 151001701120 its reverse (21107100151), we get a palindrome (172108801271).

The spelling of 151001701120 in words is "one hundred fifty-one billion, one million, seven hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 113 128 160 164 205 226 256 320 328 410 452 565 640 656 820 904 1130 1280 1312 1640 1808 2260 2624 3280 3616 4520 4633 5248 6560 7232 9040 9266 10496 13120 14464 18080 18532 23165 25463 26240 28928 36160 37064 46330 50926 52480 72320 74128 92660 101852 127315 144640 148256 185320 203704 254630 296512 370640 407408 509260 593024 741280 814816 1018520 1043983 1186048 1482560 1629632 2037040 2087966 2877319 2965120 3259264 4074080 4175932 5219915 5754638 5930240 6518528 8148160 8351864 10439830 11509276 14386595 16296320 16703728 20879660 23018552 28773190 32592640 33407456 41759320 46037104 57546380 66814912 83518640 92074208 115092760 117970079 133629824 167037280 184148416 230185520 235940158 267259648 334074560 368296832 460371040 471880316 589850395 668149120 736593664 920742080 943760632 1179700790 1336298240 1841484160 1887521264 2359401580 3682968320 3775042528 4718803160 7550085056 9437606320 15100170112 18875212640 30200340224 37750425280 75500850560 151001701120